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Finding the Third Proportional to 90,249.75 and 194,940

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Solution

The third proportional to 90,249.75 and 194,940 is: 421,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,249.75 : 194,940 = 194,940 : x
  2. Step 2: Convert to fraction form
    90,249.75/194,940 = 194,940/x
  3. Step 3: Cross multiply
    90,249.75x = 194,940 × 194,940
  4. Step 4: Simplify right side
    90,249.75x = 38,001,603,600
  5. Step 5: Solve for x
    x = 38,001,603,600/90,249.75
  6. Step 6: Final answer
    x = 421,071.57

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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.