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Finding the Third Proportional to 386.23 and 849.34

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Solution

The third proportional to 386.23 and 849.34 is: 1,867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.23 : 849.34 = 849.34 : x
  2. Step 2: Convert to fraction form
    386.23/849.34 = 849.34/x
  3. Step 3: Cross multiply
    386.23x = 849.34 × 849.34
  4. Step 4: Simplify right side
    386.23x = 721,378.17
  5. Step 5: Solve for x
    x = 721,378.17/386.23
  6. Step 6: Final answer
    x = 1,867.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.