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Finding the Third Proportional to 62,876 and 137,412

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Solution

The third proportional to 62,876 and 137,412 is: 300,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,876 : 137,412 = 137,412 : x
  2. Step 2: Convert to fraction form
    62,876/137,412 = 137,412/x
  3. Step 3: Cross multiply
    62,876x = 137,412 × 137,412
  4. Step 4: Simplify right side
    62,876x = 18,882,057,744
  5. Step 5: Solve for x
    x = 18,882,057,744/62,876
  6. Step 6: Final answer
    x = 300,306.28

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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.