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Finding the Third Proportional to 9.74 and 20.18

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Solution

The third proportional to 9.74 and 20.18 is: 41.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.74 : 20.18 = 20.18 : x
  2. Step 2: Convert to fraction form
    9.74/20.18 = 20.18/x
  3. Step 3: Cross multiply
    9.74x = 20.18 × 20.18
  4. Step 4: Simplify right side
    9.74x = 407.13
  5. Step 5: Solve for x
    x = 407.13/9.74
  6. Step 6: Final answer
    x = 41.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.