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Finding the Third Proportional to 431,622 and 880,378

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Solution

The third proportional to 431,622 and 880,378 is: 1,795,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,622 : 880,378 = 880,378 : x
  2. Step 2: Convert to fraction form
    431,622/880,378 = 880,378/x
  3. Step 3: Cross multiply
    431,622x = 880,378 × 880,378
  4. Step 4: Simplify right side
    431,622x = 775,065,422,884
  5. Step 5: Solve for x
    x = 775,065,422,884/431,622
  6. Step 6: Final answer
    x = 1,795,704.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.