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Finding the Third Proportional to 12.35 and 16.21

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Solution

The third proportional to 12.35 and 16.21 is: 21.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.35 : 16.21 = 16.21 : x
  2. Step 2: Convert to fraction form
    12.35/16.21 = 16.21/x
  3. Step 3: Cross multiply
    12.35x = 16.21 × 16.21
  4. Step 4: Simplify right side
    12.35x = 262.71
  5. Step 5: Solve for x
    x = 262.71/12.35
  6. Step 6: Final answer
    x = 21.27

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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.