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Finding the Third Proportional to 177.40 and 391.92

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Solution

The third proportional to 177.40 and 391.92 is: 865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.40 : 391.92 = 391.92 : x
  2. Step 2: Convert to fraction form
    177.40/391.92 = 391.92/x
  3. Step 3: Cross multiply
    177.40x = 391.92 × 391.92
  4. Step 4: Simplify right side
    177.40x = 153,602.76
  5. Step 5: Solve for x
    x = 153,602.76/177.40
  6. Step 6: Final answer
    x = 865.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.