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Finding the Third Proportional to 11.41 and 14.90

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Solution

The third proportional to 11.41 and 14.90 is: 19.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.41 : 14.90 = 14.90 : x
  2. Step 2: Convert to fraction form
    11.41/14.90 = 14.90/x
  3. Step 3: Cross multiply
    11.41x = 14.90 × 14.90
  4. Step 4: Simplify right side
    11.41x = 222.07
  5. Step 5: Solve for x
    x = 222.07/11.41
  6. Step 6: Final answer
    x = 19.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.