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Finding the Third Proportional to 106.25 and 160.38

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Solution

The third proportional to 106.25 and 160.38 is: 242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.25 : 160.38 = 160.38 : x
  2. Step 2: Convert to fraction form
    106.25/160.38 = 160.38/x
  3. Step 3: Cross multiply
    106.25x = 160.38 × 160.38
  4. Step 4: Simplify right side
    106.25x = 25,720.14
  5. Step 5: Solve for x
    x = 25,720.14/106.25
  6. Step 6: Final answer
    x = 242.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.