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Finding the Third Proportional to 8,129.11 and 12,615.12

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Solution

The third proportional to 8,129.11 and 12,615.12 is: 19,576.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.11 : 12,615.12 = 12,615.12 : x
  2. Step 2: Convert to fraction form
    8,129.11/12,615.12 = 12,615.12/x
  3. Step 3: Cross multiply
    8,129.11x = 12,615.12 × 12,615.12
  4. Step 4: Simplify right side
    8,129.11x = 159,141,181.65
  5. Step 5: Solve for x
    x = 159,141,181.65/8,129.11
  6. Step 6: Final answer
    x = 19,576.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.