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Finding the Third Proportional to 12.86 and 30.51

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Solution

The third proportional to 12.86 and 30.51 is: 72.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.86 : 30.51 = 30.51 : x
  2. Step 2: Convert to fraction form
    12.86/30.51 = 30.51/x
  3. Step 3: Cross multiply
    12.86x = 30.51 × 30.51
  4. Step 4: Simplify right side
    12.86x = 930.74
  5. Step 5: Solve for x
    x = 930.74/12.86
  6. Step 6: Final answer
    x = 72.37

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.