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Finding the Third Proportional to 271,640.25 and 411,976.13

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Solution

The third proportional to 271,640.25 and 411,976.13 is: 624,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,640.25 : 411,976.13 = 411,976.13 : x
  2. Step 2: Convert to fraction form
    271,640.25/411,976.13 = 411,976.13/x
  3. Step 3: Cross multiply
    271,640.25x = 411,976.13 × 411,976.13
  4. Step 4: Simplify right side
    271,640.25x = 169,724,327,570.02
  5. Step 5: Solve for x
    x = 169,724,327,570.02/271,640.25
  6. Step 6: Final answer
    x = 624,812.88

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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.