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Finding the Third Proportional to 2,119.92 and 2,438.86

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Solution

The third proportional to 2,119.92 and 2,438.86 is: 2,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.92 : 2,438.86 = 2,438.86 : x
  2. Step 2: Convert to fraction form
    2,119.92/2,438.86 = 2,438.86/x
  3. Step 3: Cross multiply
    2,119.92x = 2,438.86 × 2,438.86
  4. Step 4: Simplify right side
    2,119.92x = 5,948,035.05
  5. Step 5: Solve for x
    x = 5,948,035.05/2,119.92
  6. Step 6: Final answer
    x = 2,805.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.