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Finding the Third Proportional to 13,222 and 26,108

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Solution

The third proportional to 13,222 and 26,108 is: 51,552.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222 : 26,108 = 26,108 : x
  2. Step 2: Convert to fraction form
    13,222/26,108 = 26,108/x
  3. Step 3: Cross multiply
    13,222x = 26,108 × 26,108
  4. Step 4: Simplify right side
    13,222x = 681,627,664
  5. Step 5: Solve for x
    x = 681,627,664/13,222
  6. Step 6: Final answer
    x = 51,552.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.