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Finding the Third Proportional to 169.31 and 286.03

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Solution

The third proportional to 169.31 and 286.03 is: 483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.31 : 286.03 = 286.03 : x
  2. Step 2: Convert to fraction form
    169.31/286.03 = 286.03/x
  3. Step 3: Cross multiply
    169.31x = 286.03 × 286.03
  4. Step 4: Simplify right side
    169.31x = 81,813.88
  5. Step 5: Solve for x
    x = 81,813.88/169.31
  6. Step 6: Final answer
    x = 483.21

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.