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Finding the Third Proportional to 218.25 and 424.13

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Solution

The third proportional to 218.25 and 424.13 is: 824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.25 : 424.13 = 424.13 : x
  2. Step 2: Convert to fraction form
    218.25/424.13 = 424.13/x
  3. Step 3: Cross multiply
    218.25x = 424.13 × 424.13
  4. Step 4: Simplify right side
    218.25x = 179,882.02
  5. Step 5: Solve for x
    x = 179,882.02/218.25
  6. Step 6: Final answer
    x = 824.20

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.