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Finding the Third Proportional to 326.88 and 699.31

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Solution

The third proportional to 326.88 and 699.31 is: 1,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.88 : 699.31 = 699.31 : x
  2. Step 2: Convert to fraction form
    326.88/699.31 = 699.31/x
  3. Step 3: Cross multiply
    326.88x = 699.31 × 699.31
  4. Step 4: Simplify right side
    326.88x = 489,037.97
  5. Step 5: Solve for x
    x = 489,037.97/326.88
  6. Step 6: Final answer
    x = 1,496.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.