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Finding the Third Proportional to 90,768 and 199,452

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Solution

The third proportional to 90,768 and 199,452 is: 438,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,768 : 199,452 = 199,452 : x
  2. Step 2: Convert to fraction form
    90,768/199,452 = 199,452/x
  3. Step 3: Cross multiply
    90,768x = 199,452 × 199,452
  4. Step 4: Simplify right side
    90,768x = 39,781,100,304
  5. Step 5: Solve for x
    x = 39,781,100,304/90,768
  6. Step 6: Final answer
    x = 438,272.30

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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.