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Finding the Third Proportional to 106.45 and 145.13

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Solution

The third proportional to 106.45 and 145.13 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.45 : 145.13 = 145.13 : x
  2. Step 2: Convert to fraction form
    106.45/145.13 = 145.13/x
  3. Step 3: Cross multiply
    106.45x = 145.13 × 145.13
  4. Step 4: Simplify right side
    106.45x = 21,061.27
  5. Step 5: Solve for x
    x = 21,061.27/106.45
  6. Step 6: Final answer
    x = 197.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.