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Finding the Third Proportional to 142,016.06 and 308,172.94

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Solution

The third proportional to 142,016.06 and 308,172.94 is: 668,731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,016.06 : 308,172.94 = 308,172.94 : x
  2. Step 2: Convert to fraction form
    142,016.06/308,172.94 = 308,172.94/x
  3. Step 3: Cross multiply
    142,016.06x = 308,172.94 × 308,172.94
  4. Step 4: Simplify right side
    142,016.06x = 94,970,559,407.38
  5. Step 5: Solve for x
    x = 94,970,559,407.38/142,016.06
  6. Step 6: Final answer
    x = 668,731.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.