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Finding the Third Proportional to 101,956 and 223,496

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Solution

The third proportional to 101,956 and 223,496 is: 489,921.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,956 : 223,496 = 223,496 : x
  2. Step 2: Convert to fraction form
    101,956/223,496 = 223,496/x
  3. Step 3: Cross multiply
    101,956x = 223,496 × 223,496
  4. Step 4: Simplify right side
    101,956x = 49,950,462,016
  5. Step 5: Solve for x
    x = 49,950,462,016/101,956
  6. Step 6: Final answer
    x = 489,921.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.