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Finding the Third Proportional to 62,657 and 137,776

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Solution

The third proportional to 62,657 and 137,776 is: 302,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,657 : 137,776 = 137,776 : x
  2. Step 2: Convert to fraction form
    62,657/137,776 = 137,776/x
  3. Step 3: Cross multiply
    62,657x = 137,776 × 137,776
  4. Step 4: Simplify right side
    62,657x = 18,982,226,176
  5. Step 5: Solve for x
    x = 18,982,226,176/62,657
  6. Step 6: Final answer
    x = 302,954.60

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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.