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Finding the Third Proportional to 68.34 and 93.97

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Solution

The third proportional to 68.34 and 93.97 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 93.97 = 93.97 : x
  2. Step 2: Convert to fraction form
    68.34/93.97 = 93.97/x
  3. Step 3: Cross multiply
    68.34x = 93.97 × 93.97
  4. Step 4: Simplify right side
    68.34x = 8,830.86
  5. Step 5: Solve for x
    x = 8,830.86/68.34
  6. Step 6: Final answer
    x = 129.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.