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Finding the Third Proportional to 90,448 and 196,963

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Solution

The third proportional to 90,448 and 196,963 is: 428,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,448 : 196,963 = 196,963 : x
  2. Step 2: Convert to fraction form
    90,448/196,963 = 196,963/x
  3. Step 3: Cross multiply
    90,448x = 196,963 × 196,963
  4. Step 4: Simplify right side
    90,448x = 38,794,423,369
  5. Step 5: Solve for x
    x = 38,794,423,369/90,448
  6. Step 6: Final answer
    x = 428,914.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.