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Finding the Third Proportional to 80,720 and 172,192

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Solution

The third proportional to 80,720 and 172,192 is: 367,320.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,720 : 172,192 = 172,192 : x
  2. Step 2: Convert to fraction form
    80,720/172,192 = 172,192/x
  3. Step 3: Cross multiply
    80,720x = 172,192 × 172,192
  4. Step 4: Simplify right side
    80,720x = 29,650,084,864
  5. Step 5: Solve for x
    x = 29,650,084,864/80,720
  6. Step 6: Final answer
    x = 367,320.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.