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Finding the Third Proportional to 10.52 and 21.86

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Solution

The third proportional to 10.52 and 21.86 is: 45.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.52 : 21.86 = 21.86 : x
  2. Step 2: Convert to fraction form
    10.52/21.86 = 21.86/x
  3. Step 3: Cross multiply
    10.52x = 21.86 × 21.86
  4. Step 4: Simplify right side
    10.52x = 477.79
  5. Step 5: Solve for x
    x = 477.79/10.52
  6. Step 6: Final answer
    x = 45.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.