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Finding the Third Proportional to 4.17 and 9.08

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Solution

The third proportional to 4.17 and 9.08 is: 19.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.17 : 9.08 = 9.08 : x
  2. Step 2: Convert to fraction form
    4.17/9.08 = 9.08/x
  3. Step 3: Cross multiply
    4.17x = 9.08 × 9.08
  4. Step 4: Simplify right side
    4.17x = 82.37
  5. Step 5: Solve for x
    x = 82.37/4.17
  6. Step 6: Final answer
    x = 19.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.