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Finding the Third Proportional to 8,139.94 and 12,207.66

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Solution

The third proportional to 8,139.94 and 12,207.66 is: 18,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.94 : 12,207.66 = 12,207.66 : x
  2. Step 2: Convert to fraction form
    8,139.94/12,207.66 = 12,207.66/x
  3. Step 3: Cross multiply
    8,139.94x = 12,207.66 × 12,207.66
  4. Step 4: Simplify right side
    8,139.94x = 149,026,871.12
  5. Step 5: Solve for x
    x = 149,026,871.12/8,139.94
  6. Step 6: Final answer
    x = 18,308.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.