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Finding the Third Proportional to 115,504 and 172,785

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Solution

The third proportional to 115,504 and 172,785 is: 258,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,504 : 172,785 = 172,785 : x
  2. Step 2: Convert to fraction form
    115,504/172,785 = 172,785/x
  3. Step 3: Cross multiply
    115,504x = 172,785 × 172,785
  4. Step 4: Simplify right side
    115,504x = 29,854,656,225
  5. Step 5: Solve for x
    x = 29,854,656,225/115,504
  6. Step 6: Final answer
    x = 258,472.92

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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.