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Finding the Third Proportional to 169,632 and 288,872

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Solution

The third proportional to 169,632 and 288,872 is: 491,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,632 : 288,872 = 288,872 : x
  2. Step 2: Convert to fraction form
    169,632/288,872 = 288,872/x
  3. Step 3: Cross multiply
    169,632x = 288,872 × 288,872
  4. Step 4: Simplify right side
    169,632x = 83,447,032,384
  5. Step 5: Solve for x
    x = 83,447,032,384/169,632
  6. Step 6: Final answer
    x = 491,929.78

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.