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Finding the Third Proportional to 4.28 and 11.77

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Solution

The third proportional to 4.28 and 11.77 is: 32.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.28 : 11.77 = 11.77 : x
  2. Step 2: Convert to fraction form
    4.28/11.77 = 11.77/x
  3. Step 3: Cross multiply
    4.28x = 11.77 × 11.77
  4. Step 4: Simplify right side
    4.28x = 138.56
  5. Step 5: Solve for x
    x = 138.56/4.28
  6. Step 6: Final answer
    x = 32.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.