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Finding the Third Proportional to 12.86 and 19.37

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Solution

The third proportional to 12.86 and 19.37 is: 29.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.86 : 19.37 = 19.37 : x
  2. Step 2: Convert to fraction form
    12.86/19.37 = 19.37/x
  3. Step 3: Cross multiply
    12.86x = 19.37 × 19.37
  4. Step 4: Simplify right side
    12.86x = 375.34
  5. Step 5: Solve for x
    x = 375.34/12.86
  6. Step 6: Final answer
    x = 29.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.