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Finding the Third Proportional to 90,823 and 195,619

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Solution

The third proportional to 90,823 and 195,619 is: 421,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,823 : 195,619 = 195,619 : x
  2. Step 2: Convert to fraction form
    90,823/195,619 = 195,619/x
  3. Step 3: Cross multiply
    90,823x = 195,619 × 195,619
  4. Step 4: Simplify right side
    90,823x = 38,266,793,161
  5. Step 5: Solve for x
    x = 38,266,793,161/90,823
  6. Step 6: Final answer
    x = 421,333.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.