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Finding the Third Proportional to 481.88 and 645.38

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Solution

The third proportional to 481.88 and 645.38 is: 864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.88 : 645.38 = 645.38 : x
  2. Step 2: Convert to fraction form
    481.88/645.38 = 645.38/x
  3. Step 3: Cross multiply
    481.88x = 645.38 × 645.38
  4. Step 4: Simplify right side
    481.88x = 416,508.89
  5. Step 5: Solve for x
    x = 416,508.89/481.88
  6. Step 6: Final answer
    x = 864.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.