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Finding the Third Proportional to 309.44 and 644.39

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Solution

The third proportional to 309.44 and 644.39 is: 1,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 644.39 = 644.39 : x
  2. Step 2: Convert to fraction form
    309.44/644.39 = 644.39/x
  3. Step 3: Cross multiply
    309.44x = 644.39 × 644.39
  4. Step 4: Simplify right side
    309.44x = 415,239.28
  5. Step 5: Solve for x
    x = 415,239.28/309.44
  6. Step 6: Final answer
    x = 1,341.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.