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Finding the Third Proportional to 84,278.25 and 185,505.75

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Solution

The third proportional to 84,278.25 and 185,505.75 is: 408,318.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,278.25 : 185,505.75 = 185,505.75 : x
  2. Step 2: Convert to fraction form
    84,278.25/185,505.75 = 185,505.75/x
  3. Step 3: Cross multiply
    84,278.25x = 185,505.75 × 185,505.75
  4. Step 4: Simplify right side
    84,278.25x = 34,412,383,283.06
  5. Step 5: Solve for x
    x = 34,412,383,283.06/84,278.25
  6. Step 6: Final answer
    x = 408,318.67

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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.