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Finding the Third Proportional to 218.13 and 405.88

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Solution

The third proportional to 218.13 and 405.88 is: 755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.13 : 405.88 = 405.88 : x
  2. Step 2: Convert to fraction form
    218.13/405.88 = 405.88/x
  3. Step 3: Cross multiply
    218.13x = 405.88 × 405.88
  4. Step 4: Simplify right side
    218.13x = 164,734.52
  5. Step 5: Solve for x
    x = 164,734.52/218.13
  6. Step 6: Final answer
    x = 755.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.