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Finding the Third Proportional to 1,865.11 and 3,986.30

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Solution

The third proportional to 1,865.11 and 3,986.30 is: 8,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.11 : 3,986.30 = 3,986.30 : x
  2. Step 2: Convert to fraction form
    1,865.11/3,986.30 = 3,986.30/x
  3. Step 3: Cross multiply
    1,865.11x = 3,986.30 × 3,986.30
  4. Step 4: Simplify right side
    1,865.11x = 15,890,562.78
  5. Step 5: Solve for x
    x = 15,890,562.78/1,865.11
  6. Step 6: Final answer
    x = 8,519.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.