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Finding the Third Proportional to 391,451 and 751,798

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Solution

The third proportional to 391,451 and 751,798 is: 1,443,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,451 : 751,798 = 751,798 : x
  2. Step 2: Convert to fraction form
    391,451/751,798 = 751,798/x
  3. Step 3: Cross multiply
    391,451x = 751,798 × 751,798
  4. Step 4: Simplify right side
    391,451x = 565,200,232,804
  5. Step 5: Solve for x
    x = 565,200,232,804/391,451
  6. Step 6: Final answer
    x = 1,443,859.47

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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.