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Finding the Third Proportional to 131.53 and 283.31

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Solution

The third proportional to 131.53 and 283.31 is: 610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.53 : 283.31 = 283.31 : x
  2. Step 2: Convert to fraction form
    131.53/283.31 = 283.31/x
  3. Step 3: Cross multiply
    131.53x = 283.31 × 283.31
  4. Step 4: Simplify right side
    131.53x = 80,265.97
  5. Step 5: Solve for x
    x = 80,265.97/131.53
  6. Step 6: Final answer
    x = 610.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.