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Finding the Third Proportional to 183.81 and 386.56

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Solution

The third proportional to 183.81 and 386.56 is: 812.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.81 : 386.56 = 386.56 : x
  2. Step 2: Convert to fraction form
    183.81/386.56 = 386.56/x
  3. Step 3: Cross multiply
    183.81x = 386.56 × 386.56
  4. Step 4: Simplify right side
    183.81x = 149,430.57
  5. Step 5: Solve for x
    x = 149,430.57/183.81
  6. Step 6: Final answer
    x = 812.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.