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Finding the Third Proportional to 191.25 and 283.25

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Solution

The third proportional to 191.25 and 283.25 is: 419.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.25 : 283.25 = 283.25 : x
  2. Step 2: Convert to fraction form
    191.25/283.25 = 283.25/x
  3. Step 3: Cross multiply
    191.25x = 283.25 × 283.25
  4. Step 4: Simplify right side
    191.25x = 80,230.56
  5. Step 5: Solve for x
    x = 80,230.56/191.25
  6. Step 6: Final answer
    x = 419.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.