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Finding the Third Proportional to 7,209 and 11,259

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Solution

The third proportional to 7,209 and 11,259 is: 17,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 11,259 = 11,259 : x
  2. Step 2: Convert to fraction form
    7,209/11,259 = 11,259/x
  3. Step 3: Cross multiply
    7,209x = 11,259 × 11,259
  4. Step 4: Simplify right side
    7,209x = 126,765,081
  5. Step 5: Solve for x
    x = 126,765,081/7,209
  6. Step 6: Final answer
    x = 17,584.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.