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Finding the Third Proportional to 445.29 and 691.19

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Solution

The third proportional to 445.29 and 691.19 is: 1,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.29 : 691.19 = 691.19 : x
  2. Step 2: Convert to fraction form
    445.29/691.19 = 691.19/x
  3. Step 3: Cross multiply
    445.29x = 691.19 × 691.19
  4. Step 4: Simplify right side
    445.29x = 477,742.86
  5. Step 5: Solve for x
    x = 477,742.86/445.29
  6. Step 6: Final answer
    x = 1,072.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.