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Finding the Third Proportional to 859.78 and 1,512.21

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Solution

The third proportional to 859.78 and 1,512.21 is: 2,659.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.78 : 1,512.21 = 1,512.21 : x
  2. Step 2: Convert to fraction form
    859.78/1,512.21 = 1,512.21/x
  3. Step 3: Cross multiply
    859.78x = 1,512.21 × 1,512.21
  4. Step 4: Simplify right side
    859.78x = 2,286,781.92
  5. Step 5: Solve for x
    x = 2,286,781.92/859.78
  6. Step 6: Final answer
    x = 2,659.73

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.