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Finding the Third Proportional to 778.13 and 1,151.81

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Solution

The third proportional to 778.13 and 1,151.81 is: 1,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.13 : 1,151.81 = 1,151.81 : x
  2. Step 2: Convert to fraction form
    778.13/1,151.81 = 1,151.81/x
  3. Step 3: Cross multiply
    778.13x = 1,151.81 × 1,151.81
  4. Step 4: Simplify right side
    778.13x = 1,326,672.04
  5. Step 5: Solve for x
    x = 1,326,672.04/778.13
  6. Step 6: Final answer
    x = 1,704.96

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.