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Finding the Third Proportional to 342,481.50 and 739,842.75

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Solution

The third proportional to 342,481.50 and 739,842.75 is: 1,598,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,481.50 : 739,842.75 = 739,842.75 : x
  2. Step 2: Convert to fraction form
    342,481.50/739,842.75 = 739,842.75/x
  3. Step 3: Cross multiply
    342,481.50x = 739,842.75 × 739,842.75
  4. Step 4: Simplify right side
    342,481.50x = 547,367,294,727.56
  5. Step 5: Solve for x
    x = 547,367,294,727.56/342,481.50
  6. Step 6: Final answer
    x = 1,598,239.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.