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Finding the Third Proportional to 84,252 and 129,186

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Solution

The third proportional to 84,252 and 129,186 is: 198,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,252 : 129,186 = 129,186 : x
  2. Step 2: Convert to fraction form
    84,252/129,186 = 129,186/x
  3. Step 3: Cross multiply
    84,252x = 129,186 × 129,186
  4. Step 4: Simplify right side
    84,252x = 16,689,022,596
  5. Step 5: Solve for x
    x = 16,689,022,596/84,252
  6. Step 6: Final answer
    x = 198,084.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.