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Finding the Third Proportional to 10,559.25 and 18,546.75

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Solution

The third proportional to 10,559.25 and 18,546.75 is: 32,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.25 : 18,546.75 = 18,546.75 : x
  2. Step 2: Convert to fraction form
    10,559.25/18,546.75 = 18,546.75/x
  3. Step 3: Cross multiply
    10,559.25x = 18,546.75 × 18,546.75
  4. Step 4: Simplify right side
    10,559.25x = 343,981,935.56
  5. Step 5: Solve for x
    x = 343,981,935.56/10,559.25
  6. Step 6: Final answer
    x = 32,576.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.