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Finding the Third Proportional to 733,759 and 978,439

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Solution

The third proportional to 733,759 and 978,439 is: 1,304,710.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,759 : 978,439 = 978,439 : x
  2. Step 2: Convert to fraction form
    733,759/978,439 = 978,439/x
  3. Step 3: Cross multiply
    733,759x = 978,439 × 978,439
  4. Step 4: Simplify right side
    733,759x = 957,342,876,721
  5. Step 5: Solve for x
    x = 957,342,876,721/733,759
  6. Step 6: Final answer
    x = 1,304,710.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.