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Finding the Third Proportional to 62,720 and 137,472

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Solution

The third proportional to 62,720 and 137,472 is: 301,316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,720 : 137,472 = 137,472 : x
  2. Step 2: Convert to fraction form
    62,720/137,472 = 137,472/x
  3. Step 3: Cross multiply
    62,720x = 137,472 × 137,472
  4. Step 4: Simplify right side
    62,720x = 18,898,550,784
  5. Step 5: Solve for x
    x = 18,898,550,784/62,720
  6. Step 6: Final answer
    x = 301,316.18

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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.