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Finding the Third Proportional to 609.40 and 939.73

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Solution

The third proportional to 609.40 and 939.73 is: 1,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 939.73 = 939.73 : x
  2. Step 2: Convert to fraction form
    609.40/939.73 = 939.73/x
  3. Step 3: Cross multiply
    609.40x = 939.73 × 939.73
  4. Step 4: Simplify right side
    609.40x = 883,086.01
  5. Step 5: Solve for x
    x = 883,086.01/609.40
  6. Step 6: Final answer
    x = 1,449.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.