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Finding the Third Proportional to 39,407 and 86,467

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Solution

The third proportional to 39,407 and 86,467 is: 189,726.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,407 : 86,467 = 86,467 : x
  2. Step 2: Convert to fraction form
    39,407/86,467 = 86,467/x
  3. Step 3: Cross multiply
    39,407x = 86,467 × 86,467
  4. Step 4: Simplify right side
    39,407x = 7,476,542,089
  5. Step 5: Solve for x
    x = 7,476,542,089/39,407
  6. Step 6: Final answer
    x = 189,726.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.