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Finding the Third Proportional to 172,767 and 261,567

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Solution

The third proportional to 172,767 and 261,567 is: 396,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,767 : 261,567 = 261,567 : x
  2. Step 2: Convert to fraction form
    172,767/261,567 = 261,567/x
  3. Step 3: Cross multiply
    172,767x = 261,567 × 261,567
  4. Step 4: Simplify right side
    172,767x = 68,417,295,489
  5. Step 5: Solve for x
    x = 68,417,295,489/172,767
  6. Step 6: Final answer
    x = 396,009.05

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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.