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Finding the Third Proportional to 8,137.13 and 12,867.19

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Solution

The third proportional to 8,137.13 and 12,867.19 is: 20,346.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.13 : 12,867.19 = 12,867.19 : x
  2. Step 2: Convert to fraction form
    8,137.13/12,867.19 = 12,867.19/x
  3. Step 3: Cross multiply
    8,137.13x = 12,867.19 × 12,867.19
  4. Step 4: Simplify right side
    8,137.13x = 165,564,514.16
  5. Step 5: Solve for x
    x = 165,564,514.16/8,137.13
  6. Step 6: Final answer
    x = 20,346.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.