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Finding the Third Proportional to 8,439.19 and 9,198.56

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Solution

The third proportional to 8,439.19 and 9,198.56 is: 10,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.19 : 9,198.56 = 9,198.56 : x
  2. Step 2: Convert to fraction form
    8,439.19/9,198.56 = 9,198.56/x
  3. Step 3: Cross multiply
    8,439.19x = 9,198.56 × 9,198.56
  4. Step 4: Simplify right side
    8,439.19x = 84,613,552.07
  5. Step 5: Solve for x
    x = 84,613,552.07/8,439.19
  6. Step 6: Final answer
    x = 10,026.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.