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Finding the Third Proportional to 103,560 and 221,874

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Solution

The third proportional to 103,560 and 221,874 is: 475,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,560 : 221,874 = 221,874 : x
  2. Step 2: Convert to fraction form
    103,560/221,874 = 221,874/x
  3. Step 3: Cross multiply
    103,560x = 221,874 × 221,874
  4. Step 4: Simplify right side
    103,560x = 49,228,071,876
  5. Step 5: Solve for x
    x = 49,228,071,876/103,560
  6. Step 6: Final answer
    x = 475,357.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.