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Finding the Third Proportional to 14.03 and 20.57

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Solution

The third proportional to 14.03 and 20.57 is: 30.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.03 : 20.57 = 20.57 : x
  2. Step 2: Convert to fraction form
    14.03/20.57 = 20.57/x
  3. Step 3: Cross multiply
    14.03x = 20.57 × 20.57
  4. Step 4: Simplify right side
    14.03x = 422.98
  5. Step 5: Solve for x
    x = 422.98/14.03
  6. Step 6: Final answer
    x = 30.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.