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Finding the Third Proportional to 342,453.25 and 739,748.75

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Solution

The third proportional to 342,453.25 and 739,748.75 is: 1,597,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,453.25 : 739,748.75 = 739,748.75 : x
  2. Step 2: Convert to fraction form
    342,453.25/739,748.75 = 739,748.75/x
  3. Step 3: Cross multiply
    342,453.25x = 739,748.75 × 739,748.75
  4. Step 4: Simplify right side
    342,453.25x = 547,228,213,126.56
  5. Step 5: Solve for x
    x = 547,228,213,126.56/342,453.25
  6. Step 6: Final answer
    x = 1,597,964.72

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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.