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Finding the Third Proportional to 494.81 and 769.69

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Solution

The third proportional to 494.81 and 769.69 is: 1,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.81 : 769.69 = 769.69 : x
  2. Step 2: Convert to fraction form
    494.81/769.69 = 769.69/x
  3. Step 3: Cross multiply
    494.81x = 769.69 × 769.69
  4. Step 4: Simplify right side
    494.81x = 592,418.85
  5. Step 5: Solve for x
    x = 592,418.85/494.81
  6. Step 6: Final answer
    x = 1,197.26

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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.