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Finding the Third Proportional to 218.38 and 318.63

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Solution

The third proportional to 218.38 and 318.63 is: 464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.38 : 318.63 = 318.63 : x
  2. Step 2: Convert to fraction form
    218.38/318.63 = 318.63/x
  3. Step 3: Cross multiply
    218.38x = 318.63 × 318.63
  4. Step 4: Simplify right side
    218.38x = 101,521.89
  5. Step 5: Solve for x
    x = 101,521.89/218.38
  6. Step 6: Final answer
    x = 464.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.