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Finding the Third Proportional to 11,002 and 22,940

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Solution

The third proportional to 11,002 and 22,940 is: 47,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002 : 22,940 = 22,940 : x
  2. Step 2: Convert to fraction form
    11,002/22,940 = 22,940/x
  3. Step 3: Cross multiply
    11,002x = 22,940 × 22,940
  4. Step 4: Simplify right side
    11,002x = 526,243,600
  5. Step 5: Solve for x
    x = 526,243,600/11,002
  6. Step 6: Final answer
    x = 47,831.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.