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Finding the Third Proportional to 11,230 and 15,260

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Solution

The third proportional to 11,230 and 15,260 is: 20,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230 : 15,260 = 15,260 : x
  2. Step 2: Convert to fraction form
    11,230/15,260 = 15,260/x
  3. Step 3: Cross multiply
    11,230x = 15,260 × 15,260
  4. Step 4: Simplify right side
    11,230x = 232,867,600
  5. Step 5: Solve for x
    x = 232,867,600/11,230
  6. Step 6: Final answer
    x = 20,736.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.