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Finding the Third Proportional to 7.84 and 16.07

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Solution

The third proportional to 7.84 and 16.07 is: 32.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.84 : 16.07 = 16.07 : x
  2. Step 2: Convert to fraction form
    7.84/16.07 = 16.07/x
  3. Step 3: Cross multiply
    7.84x = 16.07 × 16.07
  4. Step 4: Simplify right side
    7.84x = 258.13
  5. Step 5: Solve for x
    x = 258.13/7.84
  6. Step 6: Final answer
    x = 32.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.