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Finding the Third Proportional to 90,784 and 199,486

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Solution

The third proportional to 90,784 and 199,486 is: 438,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784 : 199,486 = 199,486 : x
  2. Step 2: Convert to fraction form
    90,784/199,486 = 199,486/x
  3. Step 3: Cross multiply
    90,784x = 199,486 × 199,486
  4. Step 4: Simplify right side
    90,784x = 39,794,664,196
  5. Step 5: Solve for x
    x = 39,794,664,196/90,784
  6. Step 6: Final answer
    x = 438,344.47

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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.