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Finding the Third Proportional to 80,440 and 176,675

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Solution

The third proportional to 80,440 and 176,675 is: 388,041.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,440 : 176,675 = 176,675 : x
  2. Step 2: Convert to fraction form
    80,440/176,675 = 176,675/x
  3. Step 3: Cross multiply
    80,440x = 176,675 × 176,675
  4. Step 4: Simplify right side
    80,440x = 31,214,055,625
  5. Step 5: Solve for x
    x = 31,214,055,625/80,440
  6. Step 6: Final answer
    x = 388,041.47

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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.