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Finding the Third Proportional to 664.31 and 939.66

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Solution

The third proportional to 664.31 and 939.66 is: 1,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 939.66 = 939.66 : x
  2. Step 2: Convert to fraction form
    664.31/939.66 = 939.66/x
  3. Step 3: Cross multiply
    664.31x = 939.66 × 939.66
  4. Step 4: Simplify right side
    664.31x = 882,953.87
  5. Step 5: Solve for x
    x = 882,953.87/664.31
  6. Step 6: Final answer
    x = 1,329.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.