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Finding the Third Proportional to 11,212 and 18,010

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Solution

The third proportional to 11,212 and 18,010 is: 28,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212 : 18,010 = 18,010 : x
  2. Step 2: Convert to fraction form
    11,212/18,010 = 18,010/x
  3. Step 3: Cross multiply
    11,212x = 18,010 × 18,010
  4. Step 4: Simplify right side
    11,212x = 324,360,100
  5. Step 5: Solve for x
    x = 324,360,100/11,212
  6. Step 6: Final answer
    x = 28,929.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.