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Finding the Third Proportional to 391,447 and 751,790

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Solution

The third proportional to 391,447 and 751,790 is: 1,443,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,447 : 751,790 = 751,790 : x
  2. Step 2: Convert to fraction form
    391,447/751,790 = 751,790/x
  3. Step 3: Cross multiply
    391,447x = 751,790 × 751,790
  4. Step 4: Simplify right side
    391,447x = 565,188,204,100
  5. Step 5: Solve for x
    x = 565,188,204,100/391,447
  6. Step 6: Final answer
    x = 1,443,843.49

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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.