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Finding the Third Proportional to 220.13 and 319.88

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Solution

The third proportional to 220.13 and 319.88 is: 464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 319.88 = 319.88 : x
  2. Step 2: Convert to fraction form
    220.13/319.88 = 319.88/x
  3. Step 3: Cross multiply
    220.13x = 319.88 × 319.88
  4. Step 4: Simplify right side
    220.13x = 102,320.02
  5. Step 5: Solve for x
    x = 102,320.02/220.13
  6. Step 6: Final answer
    x = 464.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.