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Finding the Third Proportional to 69,207.75 and 150,921.56

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Solution

The third proportional to 69,207.75 and 150,921.56 is: 329,115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,207.75 : 150,921.56 = 150,921.56 : x
  2. Step 2: Convert to fraction form
    69,207.75/150,921.56 = 150,921.56/x
  3. Step 3: Cross multiply
    69,207.75x = 150,921.56 × 150,921.56
  4. Step 4: Simplify right side
    69,207.75x = 22,777,318,027.44
  5. Step 5: Solve for x
    x = 22,777,318,027.44/69,207.75
  6. Step 6: Final answer
    x = 329,115.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.