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Finding the Third Proportional to 2.31 and 2.56

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Solution

The third proportional to 2.31 and 2.56 is: 2.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.31 : 2.56 = 2.56 : x
  2. Step 2: Convert to fraction form
    2.31/2.56 = 2.56/x
  3. Step 3: Cross multiply
    2.31x = 2.56 × 2.56
  4. Step 4: Simplify right side
    2.31x = 6.57
  5. Step 5: Solve for x
    x = 6.57/2.31
  6. Step 6: Final answer
    x = 2.84

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.