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Finding the Third Proportional to 62,655 and 137,772

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Solution

The third proportional to 62,655 and 137,772 is: 302,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,655 : 137,772 = 137,772 : x
  2. Step 2: Convert to fraction form
    62,655/137,772 = 137,772/x
  3. Step 3: Cross multiply
    62,655x = 137,772 × 137,772
  4. Step 4: Simplify right side
    62,655x = 18,981,123,984
  5. Step 5: Solve for x
    x = 18,981,123,984/62,655
  6. Step 6: Final answer
    x = 302,946.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.