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Finding the Third Proportional to 778.92 and 1,242.42

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Solution

The third proportional to 778.92 and 1,242.42 is: 1,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.92 : 1,242.42 = 1,242.42 : x
  2. Step 2: Convert to fraction form
    778.92/1,242.42 = 1,242.42/x
  3. Step 3: Cross multiply
    778.92x = 1,242.42 × 1,242.42
  4. Step 4: Simplify right side
    778.92x = 1,543,612.12
  5. Step 5: Solve for x
    x = 1,543,612.12/778.92
  6. Step 6: Final answer
    x = 1,981.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.