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Finding the Third Proportional to 207.98 and 326.11

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Solution

The third proportional to 207.98 and 326.11 is: 511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.98 : 326.11 = 326.11 : x
  2. Step 2: Convert to fraction form
    207.98/326.11 = 326.11/x
  3. Step 3: Cross multiply
    207.98x = 326.11 × 326.11
  4. Step 4: Simplify right side
    207.98x = 106,347.32
  5. Step 5: Solve for x
    x = 106,347.32/207.98
  6. Step 6: Final answer
    x = 511.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.