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Finding the Third Proportional to 271,817 and 578,626

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Solution

The third proportional to 271,817 and 578,626 is: 1,231,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,817 : 578,626 = 578,626 : x
  2. Step 2: Convert to fraction form
    271,817/578,626 = 578,626/x
  3. Step 3: Cross multiply
    271,817x = 578,626 × 578,626
  4. Step 4: Simplify right side
    271,817x = 334,808,047,876
  5. Step 5: Solve for x
    x = 334,808,047,876/271,817
  6. Step 6: Final answer
    x = 1,231,740.65

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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.