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Finding the Third Proportional to 481.88 and 630.94

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Solution

The third proportional to 481.88 and 630.94 is: 826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.88 : 630.94 = 630.94 : x
  2. Step 2: Convert to fraction form
    481.88/630.94 = 630.94/x
  3. Step 3: Cross multiply
    481.88x = 630.94 × 630.94
  4. Step 4: Simplify right side
    481.88x = 398,082.13
  5. Step 5: Solve for x
    x = 398,082.13/481.88
  6. Step 6: Final answer
    x = 826.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.