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Finding the Third Proportional to 172,480 and 261,635

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Solution

The third proportional to 172,480 and 261,635 is: 396,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,480 : 261,635 = 261,635 : x
  2. Step 2: Convert to fraction form
    172,480/261,635 = 261,635/x
  3. Step 3: Cross multiply
    172,480x = 261,635 × 261,635
  4. Step 4: Simplify right side
    172,480x = 68,452,873,225
  5. Step 5: Solve for x
    x = 68,452,873,225/172,480
  6. Step 6: Final answer
    x = 396,874.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.