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Finding the Third Proportional to 129,614 and 165,625

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Solution

The third proportional to 129,614 and 165,625 is: 211,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,614 : 165,625 = 165,625 : x
  2. Step 2: Convert to fraction form
    129,614/165,625 = 165,625/x
  3. Step 3: Cross multiply
    129,614x = 165,625 × 165,625
  4. Step 4: Simplify right side
    129,614x = 27,431,640,625
  5. Step 5: Solve for x
    x = 27,431,640,625/129,614
  6. Step 6: Final answer
    x = 211,641.03

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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.