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Finding the Third Proportional to 330.88 and 517.69

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Solution

The third proportional to 330.88 and 517.69 is: 809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.88 : 517.69 = 517.69 : x
  2. Step 2: Convert to fraction form
    330.88/517.69 = 517.69/x
  3. Step 3: Cross multiply
    330.88x = 517.69 × 517.69
  4. Step 4: Simplify right side
    330.88x = 268,000.35
  5. Step 5: Solve for x
    x = 268,000.35/330.88
  6. Step 6: Final answer
    x = 809.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.