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Finding the Third Proportional to 412.13 and 867.56

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Solution

The third proportional to 412.13 and 867.56 is: 1,826.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 867.56 = 867.56 : x
  2. Step 2: Convert to fraction form
    412.13/867.56 = 867.56/x
  3. Step 3: Cross multiply
    412.13x = 867.56 × 867.56
  4. Step 4: Simplify right side
    412.13x = 752,664.69
  5. Step 5: Solve for x
    x = 752,664.69/412.13
  6. Step 6: Final answer
    x = 1,826.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.