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Finding the Third Proportional to 115,524 and 172,815

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Solution

The third proportional to 115,524 and 172,815 is: 258,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,524 : 172,815 = 172,815 : x
  2. Step 2: Convert to fraction form
    115,524/172,815 = 172,815/x
  3. Step 3: Cross multiply
    115,524x = 172,815 × 172,815
  4. Step 4: Simplify right side
    115,524x = 29,865,024,225
  5. Step 5: Solve for x
    x = 29,865,024,225/115,524
  6. Step 6: Final answer
    x = 258,517.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.