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Finding the Third Proportional to 20.17 and 30.26

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Solution

The third proportional to 20.17 and 30.26 is: 45.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.17 : 30.26 = 30.26 : x
  2. Step 2: Convert to fraction form
    20.17/30.26 = 30.26/x
  3. Step 3: Cross multiply
    20.17x = 30.26 × 30.26
  4. Step 4: Simplify right side
    20.17x = 915.45
  5. Step 5: Solve for x
    x = 915.45/20.17
  6. Step 6: Final answer
    x = 45.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.