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Finding the Third Proportional to 90,669 and 197,469

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Solution

The third proportional to 90,669 and 197,469 is: 430,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,669 : 197,469 = 197,469 : x
  2. Step 2: Convert to fraction form
    90,669/197,469 = 197,469/x
  3. Step 3: Cross multiply
    90,669x = 197,469 × 197,469
  4. Step 4: Simplify right side
    90,669x = 38,994,005,961
  5. Step 5: Solve for x
    x = 38,994,005,961/90,669
  6. Step 6: Final answer
    x = 430,069.88

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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.