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Finding the Third Proportional to 218.04 and 337.08

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Solution

The third proportional to 218.04 and 337.08 is: 521.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.04 : 337.08 = 337.08 : x
  2. Step 2: Convert to fraction form
    218.04/337.08 = 337.08/x
  3. Step 3: Cross multiply
    218.04x = 337.08 × 337.08
  4. Step 4: Simplify right side
    218.04x = 113,621.66
  5. Step 5: Solve for x
    x = 113,621.66/218.04
  6. Step 6: Final answer
    x = 521.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.