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Finding the Third Proportional to 82,132 and 118,686

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Solution

The third proportional to 82,132 and 118,686 is: 171,508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,132 : 118,686 = 118,686 : x
  2. Step 2: Convert to fraction form
    82,132/118,686 = 118,686/x
  3. Step 3: Cross multiply
    82,132x = 118,686 × 118,686
  4. Step 4: Simplify right side
    82,132x = 14,086,366,596
  5. Step 5: Solve for x
    x = 14,086,366,596/82,132
  6. Step 6: Final answer
    x = 171,508.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.