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Finding the Third Proportional to 273.38 and 412.73

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Solution

The third proportional to 273.38 and 412.73 is: 623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.38 : 412.73 = 412.73 : x
  2. Step 2: Convert to fraction form
    273.38/412.73 = 412.73/x
  3. Step 3: Cross multiply
    273.38x = 412.73 × 412.73
  4. Step 4: Simplify right side
    273.38x = 170,349.66
  5. Step 5: Solve for x
    x = 170,349.66/273.38
  6. Step 6: Final answer
    x = 623.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.