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Finding the Third Proportional to 4.19 and 9.09

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Solution

The third proportional to 4.19 and 9.09 is: 19.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.19 : 9.09 = 9.09 : x
  2. Step 2: Convert to fraction form
    4.19/9.09 = 9.09/x
  3. Step 3: Cross multiply
    4.19x = 9.09 × 9.09
  4. Step 4: Simplify right side
    4.19x = 82.70
  5. Step 5: Solve for x
    x = 82.70/4.19
  6. Step 6: Final answer
    x = 19.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.