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Finding the Third Proportional to 5,104.13 and 8,119.69

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Solution

The third proportional to 5,104.13 and 8,119.69 is: 12,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.13 : 8,119.69 = 8,119.69 : x
  2. Step 2: Convert to fraction form
    5,104.13/8,119.69 = 8,119.69/x
  3. Step 3: Cross multiply
    5,104.13x = 8,119.69 × 8,119.69
  4. Step 4: Simplify right side
    5,104.13x = 65,929,325.10
  5. Step 5: Solve for x
    x = 65,929,325.10/5,104.13
  6. Step 6: Final answer
    x = 12,916.87

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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.