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Finding the Third Proportional to 90,935 and 197,422

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Solution

The third proportional to 90,935 and 197,422 is: 428,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,935 : 197,422 = 197,422 : x
  2. Step 2: Convert to fraction form
    90,935/197,422 = 197,422/x
  3. Step 3: Cross multiply
    90,935x = 197,422 × 197,422
  4. Step 4: Simplify right side
    90,935x = 38,975,446,084
  5. Step 5: Solve for x
    x = 38,975,446,084/90,935
  6. Step 6: Final answer
    x = 428,607.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.