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Finding the Third Proportional to 84,571.50 and 185,882.75

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Solution

The third proportional to 84,571.50 and 185,882.75 is: 408,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,571.50 : 185,882.75 = 185,882.75 : x
  2. Step 2: Convert to fraction form
    84,571.50/185,882.75 = 185,882.75/x
  3. Step 3: Cross multiply
    84,571.50x = 185,882.75 × 185,882.75
  4. Step 4: Simplify right side
    84,571.50x = 34,552,396,747.56
  5. Step 5: Solve for x
    x = 34,552,396,747.56/84,571.50
  6. Step 6: Final answer
    x = 408,558.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.