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Finding the Third Proportional to 4.16 and 8.02

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Solution

The third proportional to 4.16 and 8.02 is: 15.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 8.02 = 8.02 : x
  2. Step 2: Convert to fraction form
    4.16/8.02 = 8.02/x
  3. Step 3: Cross multiply
    4.16x = 8.02 × 8.02
  4. Step 4: Simplify right side
    4.16x = 64.27
  5. Step 5: Solve for x
    x = 64.27/4.16
  6. Step 6: Final answer
    x = 15.46

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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.