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Finding the Third Proportional to 271,821 and 578,634

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Solution

The third proportional to 271,821 and 578,634 is: 1,231,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,821 : 578,634 = 578,634 : x
  2. Step 2: Convert to fraction form
    271,821/578,634 = 578,634/x
  3. Step 3: Cross multiply
    271,821x = 578,634 × 578,634
  4. Step 4: Simplify right side
    271,821x = 334,817,305,956
  5. Step 5: Solve for x
    x = 334,817,305,956/271,821
  6. Step 6: Final answer
    x = 1,231,756.58

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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.