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Finding the Third Proportional to 28,747 and 62,839

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Solution

The third proportional to 28,747 and 62,839 is: 137,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,747 : 62,839 = 62,839 : x
  2. Step 2: Convert to fraction form
    28,747/62,839 = 62,839/x
  3. Step 3: Cross multiply
    28,747x = 62,839 × 62,839
  4. Step 4: Simplify right side
    28,747x = 3,948,739,921
  5. Step 5: Solve for x
    x = 3,948,739,921/28,747
  6. Step 6: Final answer
    x = 137,361.81

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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.