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Finding the Third Proportional to 868.54 and 1,909.35

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Solution

The third proportional to 868.54 and 1,909.35 is: 4,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.54 : 1,909.35 = 1,909.35 : x
  2. Step 2: Convert to fraction form
    868.54/1,909.35 = 1,909.35/x
  3. Step 3: Cross multiply
    868.54x = 1,909.35 × 1,909.35
  4. Step 4: Simplify right side
    868.54x = 3,645,630.85
  5. Step 5: Solve for x
    x = 3,645,630.85/868.54
  6. Step 6: Final answer
    x = 4,197.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.