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Finding the Third Proportional to 2.51 and 3.31

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Solution

The third proportional to 2.51 and 3.31 is: 4.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 3.31 = 3.31 : x
  2. Step 2: Convert to fraction form
    2.51/3.31 = 3.31/x
  3. Step 3: Cross multiply
    2.51x = 3.31 × 3.31
  4. Step 4: Simplify right side
    2.51x = 10.98
  5. Step 5: Solve for x
    x = 10.98/2.51
  6. Step 6: Final answer
    x = 4.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.