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Finding the Third Proportional to 3,909.19 and 7,977.56

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Solution

The third proportional to 3,909.19 and 7,977.56 is: 16,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.19 : 7,977.56 = 7,977.56 : x
  2. Step 2: Convert to fraction form
    3,909.19/7,977.56 = 7,977.56/x
  3. Step 3: Cross multiply
    3,909.19x = 7,977.56 × 7,977.56
  4. Step 4: Simplify right side
    3,909.19x = 63,641,503.44
  5. Step 5: Solve for x
    x = 63,641,503.44/3,909.19
  6. Step 6: Final answer
    x = 16,279.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.