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Finding the Third Proportional to 494.53 and 771.70

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Solution

The third proportional to 494.53 and 771.70 is: 1,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.53 : 771.70 = 771.70 : x
  2. Step 2: Convert to fraction form
    494.53/771.70 = 771.70/x
  3. Step 3: Cross multiply
    494.53x = 771.70 × 771.70
  4. Step 4: Simplify right side
    494.53x = 595,525.71
  5. Step 5: Solve for x
    x = 595,525.71/494.53
  6. Step 6: Final answer
    x = 1,204.22

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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.