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Finding the Third Proportional to 2,587.78 and 3,871.97

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Solution

The third proportional to 2,587.78 and 3,871.97 is: 5,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.78 : 3,871.97 = 3,871.97 : x
  2. Step 2: Convert to fraction form
    2,587.78/3,871.97 = 3,871.97/x
  3. Step 3: Cross multiply
    2,587.78x = 3,871.97 × 3,871.97
  4. Step 4: Simplify right side
    2,587.78x = 14,992,142.00
  5. Step 5: Solve for x
    x = 14,992,142.00/2,587.78
  6. Step 6: Final answer
    x = 5,793.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.