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Finding the Third Proportional to 271,569 and 411,727

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Solution

The third proportional to 271,569 and 411,727 is: 624,221.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,569 : 411,727 = 411,727 : x
  2. Step 2: Convert to fraction form
    271,569/411,727 = 411,727/x
  3. Step 3: Cross multiply
    271,569x = 411,727 × 411,727
  4. Step 4: Simplify right side
    271,569x = 169,519,122,529
  5. Step 5: Solve for x
    x = 169,519,122,529/271,569
  6. Step 6: Final answer
    x = 624,221.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.