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Finding the Third Proportional to 391,449 and 751,794

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Solution

The third proportional to 391,449 and 751,794 is: 1,443,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,449 : 751,794 = 751,794 : x
  2. Step 2: Convert to fraction form
    391,449/751,794 = 751,794/x
  3. Step 3: Cross multiply
    391,449x = 751,794 × 751,794
  4. Step 4: Simplify right side
    391,449x = 565,194,218,436
  5. Step 5: Solve for x
    x = 565,194,218,436/391,449
  6. Step 6: Final answer
    x = 1,443,851.48

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.