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Finding the Third Proportional to 90,882 and 198,063.56

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Solution

The third proportional to 90,882 and 198,063.56 is: 431,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,882 : 198,063.56 = 198,063.56 : x
  2. Step 2: Convert to fraction form
    90,882/198,063.56 = 198,063.56/x
  3. Step 3: Cross multiply
    90,882x = 198,063.56 × 198,063.56
  4. Step 4: Simplify right side
    90,882x = 39,229,174,790.19
  5. Step 5: Solve for x
    x = 39,229,174,790.19/90,882
  6. Step 6: Final answer
    x = 431,649.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.