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Finding the Third Proportional to 272.74 and 445.71

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Solution

The third proportional to 272.74 and 445.71 is: 728.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 445.71 = 445.71 : x
  2. Step 2: Convert to fraction form
    272.74/445.71 = 445.71/x
  3. Step 3: Cross multiply
    272.74x = 445.71 × 445.71
  4. Step 4: Simplify right side
    272.74x = 198,658.24
  5. Step 5: Solve for x
    x = 198,658.24/272.74
  6. Step 6: Final answer
    x = 728.37

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.