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Finding the Third Proportional to 81,340.75 and 166,645.38

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Solution

The third proportional to 81,340.75 and 166,645.38 is: 341,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,340.75 : 166,645.38 = 166,645.38 : x
  2. Step 2: Convert to fraction form
    81,340.75/166,645.38 = 166,645.38/x
  3. Step 3: Cross multiply
    81,340.75x = 166,645.38 × 166,645.38
  4. Step 4: Simplify right side
    81,340.75x = 27,770,681,008.89
  5. Step 5: Solve for x
    x = 27,770,681,008.89/81,340.75
  6. Step 6: Final answer
    x = 341,411.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.