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Finding the Third Proportional to 207.84 and 405.19

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Solution

The third proportional to 207.84 and 405.19 is: 789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 405.19 = 405.19 : x
  2. Step 2: Convert to fraction form
    207.84/405.19 = 405.19/x
  3. Step 3: Cross multiply
    207.84x = 405.19 × 405.19
  4. Step 4: Simplify right side
    207.84x = 164,176.91
  5. Step 5: Solve for x
    x = 164,176.91/207.84
  6. Step 6: Final answer
    x = 789.91

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.