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Finding the Third Proportional to 90,535 and 194,939

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Solution

The third proportional to 90,535 and 194,939 is: 419,740.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,535 : 194,939 = 194,939 : x
  2. Step 2: Convert to fraction form
    90,535/194,939 = 194,939/x
  3. Step 3: Cross multiply
    90,535x = 194,939 × 194,939
  4. Step 4: Simplify right side
    90,535x = 38,001,213,721
  5. Step 5: Solve for x
    x = 38,001,213,721/90,535
  6. Step 6: Final answer
    x = 419,740.58

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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.