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Finding the Third Proportional to 686.25 and 939.38

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Solution

The third proportional to 686.25 and 939.38 is: 1,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 939.38 = 939.38 : x
  2. Step 2: Convert to fraction form
    686.25/939.38 = 939.38/x
  3. Step 3: Cross multiply
    686.25x = 939.38 × 939.38
  4. Step 4: Simplify right side
    686.25x = 882,425.39
  5. Step 5: Solve for x
    x = 882,425.39/686.25
  6. Step 6: Final answer
    x = 1,285.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.