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Finding the Third Proportional to 191.39 and 415.20

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Solution

The third proportional to 191.39 and 415.20 is: 900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.39 : 415.20 = 415.20 : x
  2. Step 2: Convert to fraction form
    191.39/415.20 = 415.20/x
  3. Step 3: Cross multiply
    191.39x = 415.20 × 415.20
  4. Step 4: Simplify right side
    191.39x = 172,387.15
  5. Step 5: Solve for x
    x = 172,387.15/191.39
  6. Step 6: Final answer
    x = 900.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.