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Finding the Third Proportional to 90,470.25 and 198,888.75

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Solution

The third proportional to 90,470.25 and 198,888.75 is: 437,234.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,470.25 : 198,888.75 = 198,888.75 : x
  2. Step 2: Convert to fraction form
    90,470.25/198,888.75 = 198,888.75/x
  3. Step 3: Cross multiply
    90,470.25x = 198,888.75 × 198,888.75
  4. Step 4: Simplify right side
    90,470.25x = 39,556,734,876.56
  5. Step 5: Solve for x
    x = 39,556,734,876.56/90,470.25
  6. Step 6: Final answer
    x = 437,234.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.