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Finding the Third Proportional to 521.09 and 676.90

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Solution

The third proportional to 521.09 and 676.90 is: 879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.09 : 676.90 = 676.90 : x
  2. Step 2: Convert to fraction form
    521.09/676.90 = 676.90/x
  3. Step 3: Cross multiply
    521.09x = 676.90 × 676.90
  4. Step 4: Simplify right side
    521.09x = 458,191.49
  5. Step 5: Solve for x
    x = 458,191.49/521.09
  6. Step 6: Final answer
    x = 879.30

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.