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Finding the Third Proportional to 90,491.25 and 198,751.88

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Solution

The third proportional to 90,491.25 and 198,751.88 is: 436,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,491.25 : 198,751.88 = 198,751.88 : x
  2. Step 2: Convert to fraction form
    90,491.25/198,751.88 = 198,751.88/x
  3. Step 3: Cross multiply
    90,491.25x = 198,751.88 × 198,751.88
  4. Step 4: Simplify right side
    90,491.25x = 39,502,307,816.02
  5. Step 5: Solve for x
    x = 39,502,307,816.02/90,491.25
  6. Step 6: Final answer
    x = 436,531.80

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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.