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Finding the Third Proportional to 304,143,913,802.11 and 633,317,601,373.15

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Solution

The third proportional to 304,143,913,802.11 and 633,317,601,373.15 is: 1,318,754,596,121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,143,913,802.11 : 633,317,601,373.15 = 633,317,601,373.15 : x
  2. Step 2: Convert to fraction form
    304,143,913,802.11/633,317,601,373.15 = 633,317,601,373.15/x
  3. Step 3: Cross multiply
    304,143,913,802.11x = 633,317,601,373.15 × 633,317,601,373.15
  4. Step 4: Simplify right side
    304,143,913,802.11x = 401,091,184,209,040,154,558,464
  5. Step 5: Solve for x
    x = 401,091,184,209,040,154,558,464/304,143,913,802.11
  6. Step 6: Final answer
    x = 1,318,754,596,121.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.