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Finding the Third Proportional to 218.32 and 305.86

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Solution

The third proportional to 218.32 and 305.86 is: 428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.32 : 305.86 = 305.86 : x
  2. Step 2: Convert to fraction form
    218.32/305.86 = 305.86/x
  3. Step 3: Cross multiply
    218.32x = 305.86 × 305.86
  4. Step 4: Simplify right side
    218.32x = 93,549.96
  5. Step 5: Solve for x
    x = 93,549.96/218.32
  6. Step 6: Final answer
    x = 428.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.