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Finding the Third Proportional to 80,812.69 and 172,621.13

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Solution

The third proportional to 80,812.69 and 172,621.13 is: 368,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,812.69 : 172,621.13 = 172,621.13 : x
  2. Step 2: Convert to fraction form
    80,812.69/172,621.13 = 172,621.13/x
  3. Step 3: Cross multiply
    80,812.69x = 172,621.13 × 172,621.13
  4. Step 4: Simplify right side
    80,812.69x = 29,798,052,796.27
  5. Step 5: Solve for x
    x = 29,798,052,796.27/80,812.69
  6. Step 6: Final answer
    x = 368,729.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.