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Finding the Third Proportional to 39,932 and 86,416

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Solution

The third proportional to 39,932 and 86,416 is: 187,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,932 : 86,416 = 86,416 : x
  2. Step 2: Convert to fraction form
    39,932/86,416 = 86,416/x
  3. Step 3: Cross multiply
    39,932x = 86,416 × 86,416
  4. Step 4: Simplify right side
    39,932x = 7,467,725,056
  5. Step 5: Solve for x
    x = 7,467,725,056/39,932
  6. Step 6: Final answer
    x = 187,011.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.