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Finding the Third Proportional to 68.94 and 113.53

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Solution

The third proportional to 68.94 and 113.53 is: 186.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.94 : 113.53 = 113.53 : x
  2. Step 2: Convert to fraction form
    68.94/113.53 = 113.53/x
  3. Step 3: Cross multiply
    68.94x = 113.53 × 113.53
  4. Step 4: Simplify right side
    68.94x = 12,889.34
  5. Step 5: Solve for x
    x = 12,889.34/68.94
  6. Step 6: Final answer
    x = 186.97

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.