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Finding the Third Proportional to 90,784 and 199,485

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Solution

The third proportional to 90,784 and 199,485 is: 438,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784 : 199,485 = 199,485 : x
  2. Step 2: Convert to fraction form
    90,784/199,485 = 199,485/x
  3. Step 3: Cross multiply
    90,784x = 199,485 × 199,485
  4. Step 4: Simplify right side
    90,784x = 39,794,265,225
  5. Step 5: Solve for x
    x = 39,794,265,225/90,784
  6. Step 6: Final answer
    x = 438,340.07

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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.