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Finding the Third Proportional to 3,909.31 and 7,977.81

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Solution

The third proportional to 3,909.31 and 7,977.81 is: 16,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.31 : 7,977.81 = 7,977.81 : x
  2. Step 2: Convert to fraction form
    3,909.31/7,977.81 = 7,977.81/x
  3. Step 3: Cross multiply
    3,909.31x = 7,977.81 × 7,977.81
  4. Step 4: Simplify right side
    3,909.31x = 63,645,492.29
  5. Step 5: Solve for x
    x = 63,645,492.29/3,909.31
  6. Step 6: Final answer
    x = 16,280.48

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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.