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Finding the Third Proportional to 218.81 and 414.84

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Solution

The third proportional to 218.81 and 414.84 is: 786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.81 : 414.84 = 414.84 : x
  2. Step 2: Convert to fraction form
    218.81/414.84 = 414.84/x
  3. Step 3: Cross multiply
    218.81x = 414.84 × 414.84
  4. Step 4: Simplify right side
    218.81x = 172,095.34
  5. Step 5: Solve for x
    x = 172,095.34/218.81
  6. Step 6: Final answer
    x = 786.50

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.