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Finding the Third Proportional to 10,357.88 and 20,418.75

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Solution

The third proportional to 10,357.88 and 20,418.75 is: 40,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.88 : 20,418.75 = 20,418.75 : x
  2. Step 2: Convert to fraction form
    10,357.88/20,418.75 = 20,418.75/x
  3. Step 3: Cross multiply
    10,357.88x = 20,418.75 × 20,418.75
  4. Step 4: Simplify right side
    10,357.88x = 416,925,351.56
  5. Step 5: Solve for x
    x = 416,925,351.56/10,357.88
  6. Step 6: Final answer
    x = 40,252.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.