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Finding the Third Proportional to 354,538 and 777,958

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Solution

The third proportional to 354,538 and 777,958 is: 1,707,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,538 : 777,958 = 777,958 : x
  2. Step 2: Convert to fraction form
    354,538/777,958 = 777,958/x
  3. Step 3: Cross multiply
    354,538x = 777,958 × 777,958
  4. Step 4: Simplify right side
    354,538x = 605,218,649,764
  5. Step 5: Solve for x
    x = 605,218,649,764/354,538
  6. Step 6: Final answer
    x = 1,707,062.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.