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Finding the Third Proportional to 99,540 and 154,129.50

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Solution

The third proportional to 99,540 and 154,129.50 is: 238,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,540 : 154,129.50 = 154,129.50 : x
  2. Step 2: Convert to fraction form
    99,540/154,129.50 = 154,129.50/x
  3. Step 3: Cross multiply
    99,540x = 154,129.50 × 154,129.50
  4. Step 4: Simplify right side
    99,540x = 23,755,902,770.25
  5. Step 5: Solve for x
    x = 23,755,902,770.25/99,540
  6. Step 6: Final answer
    x = 238,656.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.