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Finding the Third Proportional to 106.13 and 197.53

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Solution

The third proportional to 106.13 and 197.53 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.13 : 197.53 = 197.53 : x
  2. Step 2: Convert to fraction form
    106.13/197.53 = 197.53/x
  3. Step 3: Cross multiply
    106.13x = 197.53 × 197.53
  4. Step 4: Simplify right side
    106.13x = 39,018.59
  5. Step 5: Solve for x
    x = 39,018.59/106.13
  6. Step 6: Final answer
    x = 367.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.