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Finding the Third Proportional to 80,940 and 176,100

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Solution

The third proportional to 80,940 and 176,100 is: 383,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,940 : 176,100 = 176,100 : x
  2. Step 2: Convert to fraction form
    80,940/176,100 = 176,100/x
  3. Step 3: Cross multiply
    80,940x = 176,100 × 176,100
  4. Step 4: Simplify right side
    80,940x = 31,011,210,000
  5. Step 5: Solve for x
    x = 31,011,210,000/80,940
  6. Step 6: Final answer
    x = 383,138.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.