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Finding the Third Proportional to 80,937 and 177,822

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Solution

The third proportional to 80,937 and 177,822 is: 390,682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,937 : 177,822 = 177,822 : x
  2. Step 2: Convert to fraction form
    80,937/177,822 = 177,822/x
  3. Step 3: Cross multiply
    80,937x = 177,822 × 177,822
  4. Step 4: Simplify right side
    80,937x = 31,620,663,684
  5. Step 5: Solve for x
    x = 31,620,663,684/80,937
  6. Step 6: Final answer
    x = 390,682.43

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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.