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Finding the Third Proportional to 8,113.50 and 13,591.13

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Solution

The third proportional to 8,113.50 and 13,591.13 is: 22,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.50 : 13,591.13 = 13,591.13 : x
  2. Step 2: Convert to fraction form
    8,113.50/13,591.13 = 13,591.13/x
  3. Step 3: Cross multiply
    8,113.50x = 13,591.13 × 13,591.13
  4. Step 4: Simplify right side
    8,113.50x = 184,718,678.77
  5. Step 5: Solve for x
    x = 184,718,678.77/8,113.50
  6. Step 6: Final answer
    x = 22,766.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.