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Finding the Third Proportional to 78,660 and 172,872

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Solution

The third proportional to 78,660 and 172,872 is: 379,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,660 : 172,872 = 172,872 : x
  2. Step 2: Convert to fraction form
    78,660/172,872 = 172,872/x
  3. Step 3: Cross multiply
    78,660x = 172,872 × 172,872
  4. Step 4: Simplify right side
    78,660x = 29,884,728,384
  5. Step 5: Solve for x
    x = 29,884,728,384/78,660
  6. Step 6: Final answer
    x = 379,922.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.