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Finding the Third Proportional to 45 and 106

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Solution

The third proportional to 45 and 106 is: 249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 106 = 106 : x
  2. Step 2: Convert to fraction form
    45/106 = 106/x
  3. Step 3: Cross multiply
    45x = 106 × 106
  4. Step 4: Simplify right side
    45x = 11,236
  5. Step 5: Solve for x
    x = 11,236/45
  6. Step 6: Final answer
    x = 249.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.