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Finding the Third Proportional to 218.81 and 237.09

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Solution

The third proportional to 218.81 and 237.09 is: 256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.81 : 237.09 = 237.09 : x
  2. Step 2: Convert to fraction form
    218.81/237.09 = 237.09/x
  3. Step 3: Cross multiply
    218.81x = 237.09 × 237.09
  4. Step 4: Simplify right side
    218.81x = 56,213.45
  5. Step 5: Solve for x
    x = 56,213.45/218.81
  6. Step 6: Final answer
    x = 256.90

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.