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Finding the Third Proportional to 14.36 and 17.42

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Solution

The third proportional to 14.36 and 17.42 is: 21.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.36 : 17.42 = 17.42 : x
  2. Step 2: Convert to fraction form
    14.36/17.42 = 17.42/x
  3. Step 3: Cross multiply
    14.36x = 17.42 × 17.42
  4. Step 4: Simplify right side
    14.36x = 303.52
  5. Step 5: Solve for x
    x = 303.52/14.36
  6. Step 6: Final answer
    x = 21.14

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.