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Finding the Third Proportional to 906.56 and 1,947.56

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Solution

The third proportional to 906.56 and 1,947.56 is: 4,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.56 : 1,947.56 = 1,947.56 : x
  2. Step 2: Convert to fraction form
    906.56/1,947.56 = 1,947.56/x
  3. Step 3: Cross multiply
    906.56x = 1,947.56 × 1,947.56
  4. Step 4: Simplify right side
    906.56x = 3,792,999.69
  5. Step 5: Solve for x
    x = 3,792,999.69/906.56
  6. Step 6: Final answer
    x = 4,183.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.