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Finding the Third Proportional to 5,409 and 11,222

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Solution

The third proportional to 5,409 and 11,222 is: 23,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 11,222 = 11,222 : x
  2. Step 2: Convert to fraction form
    5,409/11,222 = 11,222/x
  3. Step 3: Cross multiply
    5,409x = 11,222 × 11,222
  4. Step 4: Simplify right side
    5,409x = 125,933,284
  5. Step 5: Solve for x
    x = 125,933,284/5,409
  6. Step 6: Final answer
    x = 23,282.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.