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Finding the Third Proportional to 326.21 and 675.11

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Solution

The third proportional to 326.21 and 675.11 is: 1,397.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.21 : 675.11 = 675.11 : x
  2. Step 2: Convert to fraction form
    326.21/675.11 = 675.11/x
  3. Step 3: Cross multiply
    326.21x = 675.11 × 675.11
  4. Step 4: Simplify right side
    326.21x = 455,767.39
  5. Step 5: Solve for x
    x = 455,767.39/326.21
  6. Step 6: Final answer
    x = 1,397.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.