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Finding the Third Proportional to 159.88 and 286.75

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Solution

The third proportional to 159.88 and 286.75 is: 514.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.88 : 286.75 = 286.75 : x
  2. Step 2: Convert to fraction form
    159.88/286.75 = 286.75/x
  3. Step 3: Cross multiply
    159.88x = 286.75 × 286.75
  4. Step 4: Simplify right side
    159.88x = 82,225.56
  5. Step 5: Solve for x
    x = 82,225.56/159.88
  6. Step 6: Final answer
    x = 514.31

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.