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Finding the Third Proportional to 115,680 and 169,872

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Solution

The third proportional to 115,680 and 169,872 is: 249,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,680 : 169,872 = 169,872 : x
  2. Step 2: Convert to fraction form
    115,680/169,872 = 169,872/x
  3. Step 3: Cross multiply
    115,680x = 169,872 × 169,872
  4. Step 4: Simplify right side
    115,680x = 28,856,496,384
  5. Step 5: Solve for x
    x = 28,856,496,384/115,680
  6. Step 6: Final answer
    x = 249,451.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.