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Finding the Third Proportional to 262,892 and 411,857

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Solution

The third proportional to 262,892 and 411,857 is: 645,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,892 : 411,857 = 411,857 : x
  2. Step 2: Convert to fraction form
    262,892/411,857 = 411,857/x
  3. Step 3: Cross multiply
    262,892x = 411,857 × 411,857
  4. Step 4: Simplify right side
    262,892x = 169,626,188,449
  5. Step 5: Solve for x
    x = 169,626,188,449/262,892
  6. Step 6: Final answer
    x = 645,231.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.