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Finding the Third Proportional to 521.12 and 804.46

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Solution

The third proportional to 521.12 and 804.46 is: 1,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 804.46 = 804.46 : x
  2. Step 2: Convert to fraction form
    521.12/804.46 = 804.46/x
  3. Step 3: Cross multiply
    521.12x = 804.46 × 804.46
  4. Step 4: Simplify right side
    521.12x = 647,160.54
  5. Step 5: Solve for x
    x = 647,160.54/521.12
  6. Step 6: Final answer
    x = 1,241.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.