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Finding the Third Proportional to 113.75 and 202.38

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Solution

The third proportional to 113.75 and 202.38 is: 360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.75 : 202.38 = 202.38 : x
  2. Step 2: Convert to fraction form
    113.75/202.38 = 202.38/x
  3. Step 3: Cross multiply
    113.75x = 202.38 × 202.38
  4. Step 4: Simplify right side
    113.75x = 40,955.64
  5. Step 5: Solve for x
    x = 40,955.64/113.75
  6. Step 6: Final answer
    x = 360.05

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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.