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Finding the Third Proportional to 90,999 and 195,171

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Solution

The third proportional to 90,999 and 195,171 is: 418,594.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,999 : 195,171 = 195,171 : x
  2. Step 2: Convert to fraction form
    90,999/195,171 = 195,171/x
  3. Step 3: Cross multiply
    90,999x = 195,171 × 195,171
  4. Step 4: Simplify right side
    90,999x = 38,091,719,241
  5. Step 5: Solve for x
    x = 38,091,719,241/90,999
  6. Step 6: Final answer
    x = 418,594.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.