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Finding the Third Proportional to 271,396 and 578,861

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Solution

The third proportional to 271,396 and 578,861 is: 1,234,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,396 : 578,861 = 578,861 : x
  2. Step 2: Convert to fraction form
    271,396/578,861 = 578,861/x
  3. Step 3: Cross multiply
    271,396x = 578,861 × 578,861
  4. Step 4: Simplify right side
    271,396x = 335,080,057,321
  5. Step 5: Solve for x
    x = 335,080,057,321/271,396
  6. Step 6: Final answer
    x = 1,234,653.63

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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.