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Finding the Third Proportional to 84,143.25 and 129,375

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Solution

The third proportional to 84,143.25 and 129,375 is: 198,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,143.25 : 129,375 = 129,375 : x
  2. Step 2: Convert to fraction form
    84,143.25/129,375 = 129,375/x
  3. Step 3: Cross multiply
    84,143.25x = 129,375 × 129,375
  4. Step 4: Simplify right side
    84,143.25x = 16,737,890,625
  5. Step 5: Solve for x
    x = 16,737,890,625/84,143.25
  6. Step 6: Final answer
    x = 198,921.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.