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Finding the Third Proportional to 4 and 10

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Solution

The third proportional to 4 and 10 is: 25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4 : 10 = 10 : x
  2. Step 2: Convert to fraction form
    4/10 = 10/x
  3. Step 3: Cross multiply
    4x = 10 × 10
  4. Step 4: Simplify right side
    4x = 100
  5. Step 5: Solve for x
    x = 100/4
  6. Step 6: Final answer
    x = 25

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.