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Finding the Third Proportional to 253,731 and 356,993

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Solution

The third proportional to 253,731 and 356,993 is: 502,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,731 : 356,993 = 356,993 : x
  2. Step 2: Convert to fraction form
    253,731/356,993 = 356,993/x
  3. Step 3: Cross multiply
    253,731x = 356,993 × 356,993
  4. Step 4: Simplify right side
    253,731x = 127,444,002,049
  5. Step 5: Solve for x
    x = 127,444,002,049/253,731
  6. Step 6: Final answer
    x = 502,279.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.