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Finding the Third Proportional to 272.74 and 405.32

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Solution

The third proportional to 272.74 and 405.32 is: 602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 405.32 = 405.32 : x
  2. Step 2: Convert to fraction form
    272.74/405.32 = 405.32/x
  3. Step 3: Cross multiply
    272.74x = 405.32 × 405.32
  4. Step 4: Simplify right side
    272.74x = 164,281.39
  5. Step 5: Solve for x
    x = 164,281.39/272.74
  6. Step 6: Final answer
    x = 602.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.