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Finding the Third Proportional to 47,639 and 62,643

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Solution

The third proportional to 47,639 and 62,643 is: 82,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,639 : 62,643 = 62,643 : x
  2. Step 2: Convert to fraction form
    47,639/62,643 = 62,643/x
  3. Step 3: Cross multiply
    47,639x = 62,643 × 62,643
  4. Step 4: Simplify right side
    47,639x = 3,924,145,449
  5. Step 5: Solve for x
    x = 3,924,145,449/47,639
  6. Step 6: Final answer
    x = 82,372.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.