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Finding the Third Proportional to 3,869.96 and 5,157.11

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Solution

The third proportional to 3,869.96 and 5,157.11 is: 6,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.96 : 5,157.11 = 5,157.11 : x
  2. Step 2: Convert to fraction form
    3,869.96/5,157.11 = 5,157.11/x
  3. Step 3: Cross multiply
    3,869.96x = 5,157.11 × 5,157.11
  4. Step 4: Simplify right side
    3,869.96x = 26,595,736.82
  5. Step 5: Solve for x
    x = 26,595,736.82/3,869.96
  6. Step 6: Final answer
    x = 6,872.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.