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Finding the Third Proportional to 9.16 and 19.98

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Solution

The third proportional to 9.16 and 19.98 is: 43.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.16 : 19.98 = 19.98 : x
  2. Step 2: Convert to fraction form
    9.16/19.98 = 19.98/x
  3. Step 3: Cross multiply
    9.16x = 19.98 × 19.98
  4. Step 4: Simplify right side
    9.16x = 399.01
  5. Step 5: Solve for x
    x = 399.01/9.16
  6. Step 6: Final answer
    x = 43.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.