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Finding the Third Proportional to 10.52 and 20.29

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Solution

The third proportional to 10.52 and 20.29 is: 39.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.52 : 20.29 = 20.29 : x
  2. Step 2: Convert to fraction form
    10.52/20.29 = 20.29/x
  3. Step 3: Cross multiply
    10.52x = 20.29 × 20.29
  4. Step 4: Simplify right side
    10.52x = 411.78
  5. Step 5: Solve for x
    x = 411.78/10.52
  6. Step 6: Final answer
    x = 39.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.