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Finding the Third Proportional to 938.81 and 2,277.56

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Solution

The third proportional to 938.81 and 2,277.56 is: 5,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.81 : 2,277.56 = 2,277.56 : x
  2. Step 2: Convert to fraction form
    938.81/2,277.56 = 2,277.56/x
  3. Step 3: Cross multiply
    938.81x = 2,277.56 × 2,277.56
  4. Step 4: Simplify right side
    938.81x = 5,187,290.94
  5. Step 5: Solve for x
    x = 5,187,290.94/938.81
  6. Step 6: Final answer
    x = 5,525.37

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.