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Finding the Third Proportional to 39,742 and 82,748

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Solution

The third proportional to 39,742 and 82,748 is: 172,292.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,742 : 82,748 = 82,748 : x
  2. Step 2: Convert to fraction form
    39,742/82,748 = 82,748/x
  3. Step 3: Cross multiply
    39,742x = 82,748 × 82,748
  4. Step 4: Simplify right side
    39,742x = 6,847,231,504
  5. Step 5: Solve for x
    x = 6,847,231,504/39,742
  6. Step 6: Final answer
    x = 172,292.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.