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Finding the Third Proportional to 393,960.38 and 768,237.75

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Solution

The third proportional to 393,960.38 and 768,237.75 is: 1,498,092.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,960.38 : 768,237.75 = 768,237.75 : x
  2. Step 2: Convert to fraction form
    393,960.38/768,237.75 = 768,237.75/x
  3. Step 3: Cross multiply
    393,960.38x = 768,237.75 × 768,237.75
  4. Step 4: Simplify right side
    393,960.38x = 590,189,240,525.06
  5. Step 5: Solve for x
    x = 590,189,240,525.06/393,960.38
  6. Step 6: Final answer
    x = 1,498,092.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.