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Finding the Third Proportional to 81,940 and 177,000

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Solution

The third proportional to 81,940 and 177,000 is: 382,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,940 : 177,000 = 177,000 : x
  2. Step 2: Convert to fraction form
    81,940/177,000 = 177,000/x
  3. Step 3: Cross multiply
    81,940x = 177,000 × 177,000
  4. Step 4: Simplify right side
    81,940x = 31,329,000,000
  5. Step 5: Solve for x
    x = 31,329,000,000/81,940
  6. Step 6: Final answer
    x = 382,340.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.