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Finding the Third Proportional to 8,991 and 12,771

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Solution

The third proportional to 8,991 and 12,771 is: 18,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,991 : 12,771 = 12,771 : x
  2. Step 2: Convert to fraction form
    8,991/12,771 = 12,771/x
  3. Step 3: Cross multiply
    8,991x = 12,771 × 12,771
  4. Step 4: Simplify right side
    8,991x = 163,098,441
  5. Step 5: Solve for x
    x = 163,098,441/8,991
  6. Step 6: Final answer
    x = 18,140.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.