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Finding the Third Proportional to 8,144.30 and 12,108.23

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Solution

The third proportional to 8,144.30 and 12,108.23 is: 18,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.30 : 12,108.23 = 12,108.23 : x
  2. Step 2: Convert to fraction form
    8,144.30/12,108.23 = 12,108.23/x
  3. Step 3: Cross multiply
    8,144.30x = 12,108.23 × 12,108.23
  4. Step 4: Simplify right side
    8,144.30x = 146,609,339.68
  5. Step 5: Solve for x
    x = 146,609,339.68/8,144.30
  6. Step 6: Final answer
    x = 18,001.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.