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Finding the Third Proportional to 391,538 and 751,964

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Solution

The third proportional to 391,538 and 751,964 is: 1,444,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,538 : 751,964 = 751,964 : x
  2. Step 2: Convert to fraction form
    391,538/751,964 = 751,964/x
  3. Step 3: Cross multiply
    391,538x = 751,964 × 751,964
  4. Step 4: Simplify right side
    391,538x = 565,449,857,296
  5. Step 5: Solve for x
    x = 565,449,857,296/391,538
  6. Step 6: Final answer
    x = 1,444,176.19

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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.