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Finding the Third Proportional to 39,931 and 84,730

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Solution

The third proportional to 39,931 and 84,730 is: 179,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,931 : 84,730 = 84,730 : x
  2. Step 2: Convert to fraction form
    39,931/84,730 = 84,730/x
  3. Step 3: Cross multiply
    39,931x = 84,730 × 84,730
  4. Step 4: Simplify right side
    39,931x = 7,179,172,900
  5. Step 5: Solve for x
    x = 7,179,172,900/39,931
  6. Step 6: Final answer
    x = 179,789.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.