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Finding the Third Proportional to 39,730 and 82,727

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Solution

The third proportional to 39,730 and 82,727 is: 172,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,730 : 82,727 = 82,727 : x
  2. Step 2: Convert to fraction form
    39,730/82,727 = 82,727/x
  3. Step 3: Cross multiply
    39,730x = 82,727 × 82,727
  4. Step 4: Simplify right side
    39,730x = 6,843,756,529
  5. Step 5: Solve for x
    x = 6,843,756,529/39,730
  6. Step 6: Final answer
    x = 172,256.65

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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.