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Finding the Third Proportional to 116 and 193.38

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Solution

The third proportional to 116 and 193.38 is: 322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 193.38 = 193.38 : x
  2. Step 2: Convert to fraction form
    116/193.38 = 193.38/x
  3. Step 3: Cross multiply
    116x = 193.38 × 193.38
  4. Step 4: Simplify right side
    116x = 37,393.89
  5. Step 5: Solve for x
    x = 37,393.89/116
  6. Step 6: Final answer
    x = 322.36

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.