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Finding the Third Proportional to 14.14 and 16.15

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Solution

The third proportional to 14.14 and 16.15 is: 18.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.14 : 16.15 = 16.15 : x
  2. Step 2: Convert to fraction form
    14.14/16.15 = 16.15/x
  3. Step 3: Cross multiply
    14.14x = 16.15 × 16.15
  4. Step 4: Simplify right side
    14.14x = 260.93
  5. Step 5: Solve for x
    x = 260.93/14.14
  6. Step 6: Final answer
    x = 18.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.