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Finding the Third Proportional to 4.92 and 10.34

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Solution

The third proportional to 4.92 and 10.34 is: 21.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.92 : 10.34 = 10.34 : x
  2. Step 2: Convert to fraction form
    4.92/10.34 = 10.34/x
  3. Step 3: Cross multiply
    4.92x = 10.34 × 10.34
  4. Step 4: Simplify right side
    4.92x = 106.83
  5. Step 5: Solve for x
    x = 106.83/4.92
  6. Step 6: Final answer
    x = 21.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.