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Finding the Third Proportional to 4 and 5.25

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Solution

The third proportional to 4 and 5.25 is: 6.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4 : 5.25 = 5.25 : x
  2. Step 2: Convert to fraction form
    4/5.25 = 5.25/x
  3. Step 3: Cross multiply
    4x = 5.25 × 5.25
  4. Step 4: Simplify right side
    4x = 27.56
  5. Step 5: Solve for x
    x = 27.56/4
  6. Step 6: Final answer
    x = 6.89

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.