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Finding the Third Proportional to 116.37 and 207.42

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Solution

The third proportional to 116.37 and 207.42 is: 369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.37 : 207.42 = 207.42 : x
  2. Step 2: Convert to fraction form
    116.37/207.42 = 207.42/x
  3. Step 3: Cross multiply
    116.37x = 207.42 × 207.42
  4. Step 4: Simplify right side
    116.37x = 43,023.83
  5. Step 5: Solve for x
    x = 43,023.83/116.37
  6. Step 6: Final answer
    x = 369.72

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.