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Finding the Third Proportional to 25.31 and 168.75

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Solution

The third proportional to 25.31 and 168.75 is: 1,125

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.31 : 168.75 = 168.75 : x
  2. Step 2: Convert to fraction form
    25.31/168.75 = 168.75/x
  3. Step 3: Cross multiply
    25.31x = 168.75 × 168.75
  4. Step 4: Simplify right side
    25.31x = 28,476.56
  5. Step 5: Solve for x
    x = 28,476.56/25.31
  6. Step 6: Final answer
    x = 1,125

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Why These Related Problems?

These problems maintain the same ratio (6.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.