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Finding the Third Proportional to 124.38 and 216.94

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Solution

The third proportional to 124.38 and 216.94 is: 378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.38 : 216.94 = 216.94 : x
  2. Step 2: Convert to fraction form
    124.38/216.94 = 216.94/x
  3. Step 3: Cross multiply
    124.38x = 216.94 × 216.94
  4. Step 4: Simplify right side
    124.38x = 47,061.88
  5. Step 5: Solve for x
    x = 47,061.88/124.38
  6. Step 6: Final answer
    x = 378.39

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.