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Finding the Third Proportional to 90,489.66 and 194,853.09

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Solution

The third proportional to 90,489.66 and 194,853.09 is: 419,580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,489.66 : 194,853.09 = 194,853.09 : x
  2. Step 2: Convert to fraction form
    90,489.66/194,853.09 = 194,853.09/x
  3. Step 3: Cross multiply
    90,489.66x = 194,853.09 × 194,853.09
  4. Step 4: Simplify right side
    90,489.66x = 37,967,728,143.95
  5. Step 5: Solve for x
    x = 37,967,728,143.95/90,489.66
  6. Step 6: Final answer
    x = 419,580.86

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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.