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Finding the Third Proportional to 100.11 and 217.04

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Solution

The third proportional to 100.11 and 217.04 is: 470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.11 : 217.04 = 217.04 : x
  2. Step 2: Convert to fraction form
    100.11/217.04 = 217.04/x
  3. Step 3: Cross multiply
    100.11x = 217.04 × 217.04
  4. Step 4: Simplify right side
    100.11x = 47,108.45
  5. Step 5: Solve for x
    x = 47,108.45/100.11
  6. Step 6: Final answer
    x = 470.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.