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Finding the Third Proportional to 90,779 and 199,473.25

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Solution

The third proportional to 90,779 and 199,473.25 is: 438,312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,779 : 199,473.25 = 199,473.25 : x
  2. Step 2: Convert to fraction form
    90,779/199,473.25 = 199,473.25/x
  3. Step 3: Cross multiply
    90,779x = 199,473.25 × 199,473.25
  4. Step 4: Simplify right side
    90,779x = 39,789,577,465.56
  5. Step 5: Solve for x
    x = 39,789,577,465.56/90,779
  6. Step 6: Final answer
    x = 438,312.58

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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.