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Finding the Third Proportional to 7,982.50 and 12,811

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Solution

The third proportional to 7,982.50 and 12,811 is: 20,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.50 : 12,811 = 12,811 : x
  2. Step 2: Convert to fraction form
    7,982.50/12,811 = 12,811/x
  3. Step 3: Cross multiply
    7,982.50x = 12,811 × 12,811
  4. Step 4: Simplify right side
    7,982.50x = 164,121,721
  5. Step 5: Solve for x
    x = 164,121,721/7,982.50
  6. Step 6: Final answer
    x = 20,560.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.