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Finding the Third Proportional to 412.31 and 985.36

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Solution

The third proportional to 412.31 and 985.36 is: 2,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 985.36 = 985.36 : x
  2. Step 2: Convert to fraction form
    412.31/985.36 = 985.36/x
  3. Step 3: Cross multiply
    412.31x = 985.36 × 985.36
  4. Step 4: Simplify right side
    412.31x = 970,933.10
  5. Step 5: Solve for x
    x = 970,933.10/412.31
  6. Step 6: Final answer
    x = 2,354.85

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.