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Finding the Third Proportional to 942.38 and 1,338.38

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Solution

The third proportional to 942.38 and 1,338.38 is: 1,900.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.38 : 1,338.38 = 1,338.38 : x
  2. Step 2: Convert to fraction form
    942.38/1,338.38 = 1,338.38/x
  3. Step 3: Cross multiply
    942.38x = 1,338.38 × 1,338.38
  4. Step 4: Simplify right side
    942.38x = 1,791,247.64
  5. Step 5: Solve for x
    x = 1,791,247.64/942.38
  6. Step 6: Final answer
    x = 1,900.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.