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Finding the Third Proportional to 68.34 and 146.81

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Solution

The third proportional to 68.34 and 146.81 is: 315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 146.81 = 146.81 : x
  2. Step 2: Convert to fraction form
    68.34/146.81 = 146.81/x
  3. Step 3: Cross multiply
    68.34x = 146.81 × 146.81
  4. Step 4: Simplify right side
    68.34x = 21,553.91
  5. Step 5: Solve for x
    x = 21,553.91/68.34
  6. Step 6: Final answer
    x = 315.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.