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Finding the Third Proportional to 4.16 and 9.09

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Solution

The third proportional to 4.16 and 9.09 is: 19.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 9.09 = 9.09 : x
  2. Step 2: Convert to fraction form
    4.16/9.09 = 9.09/x
  3. Step 3: Cross multiply
    4.16x = 9.09 × 9.09
  4. Step 4: Simplify right side
    4.16x = 82.68
  5. Step 5: Solve for x
    x = 82.68/4.16
  6. Step 6: Final answer
    x = 19.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.