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Finding the Third Proportional to 7,278 and 11,231

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Solution

The third proportional to 7,278 and 11,231 is: 17,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278 : 11,231 = 11,231 : x
  2. Step 2: Convert to fraction form
    7,278/11,231 = 11,231/x
  3. Step 3: Cross multiply
    7,278x = 11,231 × 11,231
  4. Step 4: Simplify right side
    7,278x = 126,135,361
  5. Step 5: Solve for x
    x = 126,135,361/7,278
  6. Step 6: Final answer
    x = 17,331.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.