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Finding the Third Proportional to 129,654 and 165,657

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Solution

The third proportional to 129,654 and 165,657 is: 211,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,654 : 165,657 = 165,657 : x
  2. Step 2: Convert to fraction form
    129,654/165,657 = 165,657/x
  3. Step 3: Cross multiply
    129,654x = 165,657 × 165,657
  4. Step 4: Simplify right side
    129,654x = 27,442,241,649
  5. Step 5: Solve for x
    x = 27,442,241,649/129,654
  6. Step 6: Final answer
    x = 211,657.50

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.