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Finding the Third Proportional to 90,780 and 199,475

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Solution

The third proportional to 90,780 and 199,475 is: 438,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,780 : 199,475 = 199,475 : x
  2. Step 2: Convert to fraction form
    90,780/199,475 = 199,475/x
  3. Step 3: Cross multiply
    90,780x = 199,475 × 199,475
  4. Step 4: Simplify right side
    90,780x = 39,790,275,625
  5. Step 5: Solve for x
    x = 39,790,275,625/90,780
  6. Step 6: Final answer
    x = 438,315.44

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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.