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Finding the Third Proportional to 521.44 and 790.97

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Solution

The third proportional to 521.44 and 790.97 is: 1,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 790.97 = 790.97 : x
  2. Step 2: Convert to fraction form
    521.44/790.97 = 790.97/x
  3. Step 3: Cross multiply
    521.44x = 790.97 × 790.97
  4. Step 4: Simplify right side
    521.44x = 625,631.56
  5. Step 5: Solve for x
    x = 625,631.56/521.44
  6. Step 6: Final answer
    x = 1,199.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.