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Finding the Third Proportional to 90,469 and 196,247

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Solution

The third proportional to 90,469 and 196,247 is: 425,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,469 : 196,247 = 196,247 : x
  2. Step 2: Convert to fraction form
    90,469/196,247 = 196,247/x
  3. Step 3: Cross multiply
    90,469x = 196,247 × 196,247
  4. Step 4: Simplify right side
    90,469x = 38,512,885,009
  5. Step 5: Solve for x
    x = 38,512,885,009/90,469
  6. Step 6: Final answer
    x = 425,702.56

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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.