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Finding the Third Proportional to 76.22 and 157.08

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Solution

The third proportional to 76.22 and 157.08 is: 323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 157.08 = 157.08 : x
  2. Step 2: Convert to fraction form
    76.22/157.08 = 157.08/x
  3. Step 3: Cross multiply
    76.22x = 157.08 × 157.08
  4. Step 4: Simplify right side
    76.22x = 24,673.54
  5. Step 5: Solve for x
    x = 24,673.54/76.22
  6. Step 6: Final answer
    x = 323.72

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.