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Finding the Third Proportional to 218.81 and 404.63

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Solution

The third proportional to 218.81 and 404.63 is: 748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.81 : 404.63 = 404.63 : x
  2. Step 2: Convert to fraction form
    218.81/404.63 = 404.63/x
  3. Step 3: Cross multiply
    218.81x = 404.63 × 404.63
  4. Step 4: Simplify right side
    218.81x = 163,721.39
  5. Step 5: Solve for x
    x = 163,721.39/218.81
  6. Step 6: Final answer
    x = 748.23

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.