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Finding the Third Proportional to 945.56 and 2,206.69

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Solution

The third proportional to 945.56 and 2,206.69 is: 5,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.56 : 2,206.69 = 2,206.69 : x
  2. Step 2: Convert to fraction form
    945.56/2,206.69 = 2,206.69/x
  3. Step 3: Cross multiply
    945.56x = 2,206.69 × 2,206.69
  4. Step 4: Simplify right side
    945.56x = 4,869,469.72
  5. Step 5: Solve for x
    x = 4,869,469.72/945.56
  6. Step 6: Final answer
    x = 5,149.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.