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Finding the Third Proportional to 80,448 and 176,724

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Solution

The third proportional to 80,448 and 176,724 is: 388,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,448 : 176,724 = 176,724 : x
  2. Step 2: Convert to fraction form
    80,448/176,724 = 176,724/x
  3. Step 3: Cross multiply
    80,448x = 176,724 × 176,724
  4. Step 4: Simplify right side
    80,448x = 31,231,372,176
  5. Step 5: Solve for x
    x = 31,231,372,176/80,448
  6. Step 6: Final answer
    x = 388,218.13

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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.