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Finding the Third Proportional to 90,779 and 199,476

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Solution

The third proportional to 90,779 and 199,476 is: 438,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,779 : 199,476 = 199,476 : x
  2. Step 2: Convert to fraction form
    90,779/199,476 = 199,476/x
  3. Step 3: Cross multiply
    90,779x = 199,476 × 199,476
  4. Step 4: Simplify right side
    90,779x = 39,790,674,576
  5. Step 5: Solve for x
    x = 39,790,674,576/90,779
  6. Step 6: Final answer
    x = 438,324.66

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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.