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Finding the Third Proportional to 13.71 and 21.07

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Solution

The third proportional to 13.71 and 21.07 is: 32.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.71 : 21.07 = 21.07 : x
  2. Step 2: Convert to fraction form
    13.71/21.07 = 21.07/x
  3. Step 3: Cross multiply
    13.71x = 21.07 × 21.07
  4. Step 4: Simplify right side
    13.71x = 443.96
  5. Step 5: Solve for x
    x = 443.96/13.71
  6. Step 6: Final answer
    x = 32.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.