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Finding the Third Proportional to 6.86 and 14.93

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Solution

The third proportional to 6.86 and 14.93 is: 32.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.86 : 14.93 = 14.93 : x
  2. Step 2: Convert to fraction form
    6.86/14.93 = 14.93/x
  3. Step 3: Cross multiply
    6.86x = 14.93 × 14.93
  4. Step 4: Simplify right side
    6.86x = 222.89
  5. Step 5: Solve for x
    x = 222.89/6.86
  6. Step 6: Final answer
    x = 32.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.