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Finding the Third Proportional to 4.07 and 8.00

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Solution

The third proportional to 4.07 and 8.00 is: 15.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.07 : 8.00 = 8.00 : x
  2. Step 2: Convert to fraction form
    4.07/8.00 = 8.00/x
  3. Step 3: Cross multiply
    4.07x = 8.00 × 8.00
  4. Step 4: Simplify right side
    4.07x = 63.99
  5. Step 5: Solve for x
    x = 63.99/4.07
  6. Step 6: Final answer
    x = 15.73

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.