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Finding the Third Proportional to 442.69 and 517.22

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Solution

The third proportional to 442.69 and 517.22 is: 604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 517.22 = 517.22 : x
  2. Step 2: Convert to fraction form
    442.69/517.22 = 517.22/x
  3. Step 3: Cross multiply
    442.69x = 517.22 × 517.22
  4. Step 4: Simplify right side
    442.69x = 267,515.24
  5. Step 5: Solve for x
    x = 267,515.24/442.69
  6. Step 6: Final answer
    x = 604.30

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.