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Finding the Third Proportional to 376.21 and 906.29

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Solution

The third proportional to 376.21 and 906.29 is: 2,183.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.21 : 906.29 = 906.29 : x
  2. Step 2: Convert to fraction form
    376.21/906.29 = 906.29/x
  3. Step 3: Cross multiply
    376.21x = 906.29 × 906.29
  4. Step 4: Simplify right side
    376.21x = 821,366.95
  5. Step 5: Solve for x
    x = 821,366.95/376.21
  6. Step 6: Final answer
    x = 2,183.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.