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Finding the Third Proportional to 62,481 and 136,055

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Solution

The third proportional to 62,481 and 136,055 is: 296,265.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,481 : 136,055 = 136,055 : x
  2. Step 2: Convert to fraction form
    62,481/136,055 = 136,055/x
  3. Step 3: Cross multiply
    62,481x = 136,055 × 136,055
  4. Step 4: Simplify right side
    62,481x = 18,510,963,025
  5. Step 5: Solve for x
    x = 18,510,963,025/62,481
  6. Step 6: Final answer
    x = 296,265.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.