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Finding the Third Proportional to 157.22 and 326.81

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Solution

The third proportional to 157.22 and 326.81 is: 679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.22 : 326.81 = 326.81 : x
  2. Step 2: Convert to fraction form
    157.22/326.81 = 326.81/x
  3. Step 3: Cross multiply
    157.22x = 326.81 × 326.81
  4. Step 4: Simplify right side
    157.22x = 106,806.41
  5. Step 5: Solve for x
    x = 106,806.41/157.22
  6. Step 6: Final answer
    x = 679.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.