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Finding the Third Proportional to 11,106 and 22,455

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Solution

The third proportional to 11,106 and 22,455 is: 45,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 22,455 = 22,455 : x
  2. Step 2: Convert to fraction form
    11,106/22,455 = 22,455/x
  3. Step 3: Cross multiply
    11,106x = 22,455 × 22,455
  4. Step 4: Simplify right side
    11,106x = 504,227,025
  5. Step 5: Solve for x
    x = 504,227,025/11,106
  6. Step 6: Final answer
    x = 45,401.32

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.