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Finding the Third Proportional to 172,759.13 and 261,555

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Solution

The third proportional to 172,759.13 and 261,555 is: 395,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,759.13 : 261,555 = 261,555 : x
  2. Step 2: Convert to fraction form
    172,759.13/261,555 = 261,555/x
  3. Step 3: Cross multiply
    172,759.13x = 261,555 × 261,555
  4. Step 4: Simplify right side
    172,759.13x = 68,411,018,025
  5. Step 5: Solve for x
    x = 68,411,018,025/172,759.13
  6. Step 6: Final answer
    x = 395,990.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.