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Finding the Third Proportional to 90,486 and 198,816.75

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Solution

The third proportional to 90,486 and 198,816.75 is: 436,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,486 : 198,816.75 = 198,816.75 : x
  2. Step 2: Convert to fraction form
    90,486/198,816.75 = 198,816.75/x
  3. Step 3: Cross multiply
    90,486x = 198,816.75 × 198,816.75
  4. Step 4: Simplify right side
    90,486x = 39,528,100,080.56
  5. Step 5: Solve for x
    x = 39,528,100,080.56/90,486
  6. Step 6: Final answer
    x = 436,842.16

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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.