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Finding the Third Proportional to 13.90 and 18.23

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Solution

The third proportional to 13.90 and 18.23 is: 23.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.90 : 18.23 = 18.23 : x
  2. Step 2: Convert to fraction form
    13.90/18.23 = 18.23/x
  3. Step 3: Cross multiply
    13.90x = 18.23 × 18.23
  4. Step 4: Simplify right side
    13.90x = 332.49
  5. Step 5: Solve for x
    x = 332.49/13.90
  6. Step 6: Final answer
    x = 23.93

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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.