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Finding the Third Proportional to 386.50 and 940.75

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Solution

The third proportional to 386.50 and 940.75 is: 2,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.50 : 940.75 = 940.75 : x
  2. Step 2: Convert to fraction form
    386.50/940.75 = 940.75/x
  3. Step 3: Cross multiply
    386.50x = 940.75 × 940.75
  4. Step 4: Simplify right side
    386.50x = 885,010.56
  5. Step 5: Solve for x
    x = 885,010.56/386.50
  6. Step 6: Final answer
    x = 2,289.81

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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.