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Finding the Third Proportional to 90,661.50 and 195,903

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Solution

The third proportional to 90,661.50 and 195,903 is: 423,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,661.50 : 195,903 = 195,903 : x
  2. Step 2: Convert to fraction form
    90,661.50/195,903 = 195,903/x
  3. Step 3: Cross multiply
    90,661.50x = 195,903 × 195,903
  4. Step 4: Simplify right side
    90,661.50x = 38,377,985,409
  5. Step 5: Solve for x
    x = 38,377,985,409/90,661.50
  6. Step 6: Final answer
    x = 423,310.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.