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Finding the Third Proportional to 5,285 and 11,215

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Solution

The third proportional to 5,285 and 11,215 is: 23,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285 : 11,215 = 11,215 : x
  2. Step 2: Convert to fraction form
    5,285/11,215 = 11,215/x
  3. Step 3: Cross multiply
    5,285x = 11,215 × 11,215
  4. Step 4: Simplify right side
    5,285x = 125,776,225
  5. Step 5: Solve for x
    x = 125,776,225/5,285
  6. Step 6: Final answer
    x = 23,798.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.