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Finding the Third Proportional to 271,405 and 578,878

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Solution

The third proportional to 271,405 and 578,878 is: 1,234,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,405 : 578,878 = 578,878 : x
  2. Step 2: Convert to fraction form
    271,405/578,878 = 578,878/x
  3. Step 3: Cross multiply
    271,405x = 578,878 × 578,878
  4. Step 4: Simplify right side
    271,405x = 335,099,738,884
  5. Step 5: Solve for x
    x = 335,099,738,884/271,405
  6. Step 6: Final answer
    x = 1,234,685.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.