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Finding the Third Proportional to 868.22 and 1,866.09

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Solution

The third proportional to 868.22 and 1,866.09 is: 4,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.22 : 1,866.09 = 1,866.09 : x
  2. Step 2: Convert to fraction form
    868.22/1,866.09 = 1,866.09/x
  3. Step 3: Cross multiply
    868.22x = 1,866.09 × 1,866.09
  4. Step 4: Simplify right side
    868.22x = 3,482,305.88
  5. Step 5: Solve for x
    x = 3,482,305.88/868.22
  6. Step 6: Final answer
    x = 4,010.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.