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Finding the Third Proportional to 5,091.61 and 8,101.90

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Solution

The third proportional to 5,091.61 and 8,101.90 is: 12,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.61 : 8,101.90 = 8,101.90 : x
  2. Step 2: Convert to fraction form
    5,091.61/8,101.90 = 8,101.90/x
  3. Step 3: Cross multiply
    5,091.61x = 8,101.90 × 8,101.90
  4. Step 4: Simplify right side
    5,091.61x = 65,640,758.29
  5. Step 5: Solve for x
    x = 65,640,758.29/5,091.61
  6. Step 6: Final answer
    x = 12,891.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.