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Finding the Third Proportional to 221.17 and 517.32

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Solution

The third proportional to 221.17 and 517.32 is: 1,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.17 : 517.32 = 517.32 : x
  2. Step 2: Convert to fraction form
    221.17/517.32 = 517.32/x
  3. Step 3: Cross multiply
    221.17x = 517.32 × 517.32
  4. Step 4: Simplify right side
    221.17x = 267,624.35
  5. Step 5: Solve for x
    x = 267,624.35/221.17
  6. Step 6: Final answer
    x = 1,210.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.