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Finding the Third Proportional to 7,881 and 12,202.88

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Solution

The third proportional to 7,881 and 12,202.88 is: 18,894.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881 : 12,202.88 = 12,202.88 : x
  2. Step 2: Convert to fraction form
    7,881/12,202.88 = 12,202.88/x
  3. Step 3: Cross multiply
    7,881x = 12,202.88 × 12,202.88
  4. Step 4: Simplify right side
    7,881x = 148,910,158.27
  5. Step 5: Solve for x
    x = 148,910,158.27/7,881
  6. Step 6: Final answer
    x = 18,894.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.