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Finding the Third Proportional to 138,515.06 and 303,303.94

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Solution

The third proportional to 138,515.06 and 303,303.94 is: 664,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,515.06 : 303,303.94 = 303,303.94 : x
  2. Step 2: Convert to fraction form
    138,515.06/303,303.94 = 303,303.94/x
  3. Step 3: Cross multiply
    138,515.06x = 303,303.94 × 303,303.94
  4. Step 4: Simplify right side
    138,515.06x = 91,993,278,503.00
  5. Step 5: Solve for x
    x = 91,993,278,503.00/138,515.06
  6. Step 6: Final answer
    x = 664,139.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.