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Finding the Third Proportional to 392.34 and 605.53

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Solution

The third proportional to 392.34 and 605.53 is: 934.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 605.53 = 605.53 : x
  2. Step 2: Convert to fraction form
    392.34/605.53 = 605.53/x
  3. Step 3: Cross multiply
    392.34x = 605.53 × 605.53
  4. Step 4: Simplify right side
    392.34x = 366,668.09
  5. Step 5: Solve for x
    x = 366,668.09/392.34
  6. Step 6: Final answer
    x = 934.56

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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.