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Finding the Third Proportional to 518.38 and 809.13

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Solution

The third proportional to 518.38 and 809.13 is: 1,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.38 : 809.13 = 809.13 : x
  2. Step 2: Convert to fraction form
    518.38/809.13 = 809.13/x
  3. Step 3: Cross multiply
    518.38x = 809.13 × 809.13
  4. Step 4: Simplify right side
    518.38x = 654,683.27
  5. Step 5: Solve for x
    x = 654,683.27/518.38
  6. Step 6: Final answer
    x = 1,262.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.