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Finding the Third Proportional to 494.44 and 771.61

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Solution

The third proportional to 494.44 and 771.61 is: 1,204.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 771.61 = 771.61 : x
  2. Step 2: Convert to fraction form
    494.44/771.61 = 771.61/x
  3. Step 3: Cross multiply
    494.44x = 771.61 × 771.61
  4. Step 4: Simplify right side
    494.44x = 595,381.03
  5. Step 5: Solve for x
    x = 595,381.03/494.44
  6. Step 6: Final answer
    x = 1,204.16

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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.