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Finding the Third Proportional to 177.59 and 379.86

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Solution

The third proportional to 177.59 and 379.86 is: 812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.59 : 379.86 = 379.86 : x
  2. Step 2: Convert to fraction form
    177.59/379.86 = 379.86/x
  3. Step 3: Cross multiply
    177.59x = 379.86 × 379.86
  4. Step 4: Simplify right side
    177.59x = 144,293.14
  5. Step 5: Solve for x
    x = 144,293.14/177.59
  6. Step 6: Final answer
    x = 812.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.