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Finding the Third Proportional to 309.72 and 440.38

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Solution

The third proportional to 309.72 and 440.38 is: 626.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 440.38 = 440.38 : x
  2. Step 2: Convert to fraction form
    309.72/440.38 = 440.38/x
  3. Step 3: Cross multiply
    309.72x = 440.38 × 440.38
  4. Step 4: Simplify right side
    309.72x = 193,932.94
  5. Step 5: Solve for x
    x = 193,932.94/309.72
  6. Step 6: Final answer
    x = 626.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.