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Finding the Third Proportional to 39,390 and 62,647

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Solution

The third proportional to 39,390 and 62,647 is: 99,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,390 : 62,647 = 62,647 : x
  2. Step 2: Convert to fraction form
    39,390/62,647 = 62,647/x
  3. Step 3: Cross multiply
    39,390x = 62,647 × 62,647
  4. Step 4: Simplify right side
    39,390x = 3,924,646,609
  5. Step 5: Solve for x
    x = 3,924,646,609/39,390
  6. Step 6: Final answer
    x = 99,635.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.