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Finding the Third Proportional to 17.05 and 29.07

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Solution

The third proportional to 17.05 and 29.07 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.05 : 29.07 = 29.07 : x
  2. Step 2: Convert to fraction form
    17.05/29.07 = 29.07/x
  3. Step 3: Cross multiply
    17.05x = 29.07 × 29.07
  4. Step 4: Simplify right side
    17.05x = 845.28
  5. Step 5: Solve for x
    x = 845.28/17.05
  6. Step 6: Final answer
    x = 49.58

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.