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Finding the Third Proportional to 481.17 and 746.53

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Solution

The third proportional to 481.17 and 746.53 is: 1,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.17 : 746.53 = 746.53 : x
  2. Step 2: Convert to fraction form
    481.17/746.53 = 746.53/x
  3. Step 3: Cross multiply
    481.17x = 746.53 × 746.53
  4. Step 4: Simplify right side
    481.17x = 557,308.91
  5. Step 5: Solve for x
    x = 557,308.91/481.17
  6. Step 6: Final answer
    x = 1,158.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.