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Finding the Third Proportional to 151,132.50 and 330,993

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Solution

The third proportional to 151,132.50 and 330,993 is: 724,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,132.50 : 330,993 = 330,993 : x
  2. Step 2: Convert to fraction form
    151,132.50/330,993 = 330,993/x
  3. Step 3: Cross multiply
    151,132.50x = 330,993 × 330,993
  4. Step 4: Simplify right side
    151,132.50x = 109,556,366,049
  5. Step 5: Solve for x
    x = 109,556,366,049/151,132.50
  6. Step 6: Final answer
    x = 724,902.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.