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Finding the Third Proportional to 84,174 and 129,372

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Solution

The third proportional to 84,174 and 129,372 is: 198,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,174 : 129,372 = 129,372 : x
  2. Step 2: Convert to fraction form
    84,174/129,372 = 129,372/x
  3. Step 3: Cross multiply
    84,174x = 129,372 × 129,372
  4. Step 4: Simplify right side
    84,174x = 16,737,114,384
  5. Step 5: Solve for x
    x = 16,737,114,384/84,174
  6. Step 6: Final answer
    x = 198,839.48

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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.