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Finding the Third Proportional to 397.31 and 849.56

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Solution

The third proportional to 397.31 and 849.56 is: 1,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.31 : 849.56 = 849.56 : x
  2. Step 2: Convert to fraction form
    397.31/849.56 = 849.56/x
  3. Step 3: Cross multiply
    397.31x = 849.56 × 849.56
  4. Step 4: Simplify right side
    397.31x = 721,756.44
  5. Step 5: Solve for x
    x = 721,756.44/397.31
  6. Step 6: Final answer
    x = 1,816.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.