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Finding the Third Proportional to 74.25 and 157.22

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Solution

The third proportional to 74.25 and 157.22 is: 332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.25 : 157.22 = 157.22 : x
  2. Step 2: Convert to fraction form
    74.25/157.22 = 157.22/x
  3. Step 3: Cross multiply
    74.25x = 157.22 × 157.22
  4. Step 4: Simplify right side
    74.25x = 24,717.74
  5. Step 5: Solve for x
    x = 24,717.74/74.25
  6. Step 6: Final answer
    x = 332.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.