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Finding the Third Proportional to 172,769 and 261,570

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Solution

The third proportional to 172,769 and 261,570 is: 396,013.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,769 : 261,570 = 261,570 : x
  2. Step 2: Convert to fraction form
    172,769/261,570 = 261,570/x
  3. Step 3: Cross multiply
    172,769x = 261,570 × 261,570
  4. Step 4: Simplify right side
    172,769x = 68,418,864,900
  5. Step 5: Solve for x
    x = 68,418,864,900/172,769
  6. Step 6: Final answer
    x = 396,013.55

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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.