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Finding the Third Proportional to 369.44 and 781.56

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Solution

The third proportional to 369.44 and 781.56 is: 1,653.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.44 : 781.56 = 781.56 : x
  2. Step 2: Convert to fraction form
    369.44/781.56 = 781.56/x
  3. Step 3: Cross multiply
    369.44x = 781.56 × 781.56
  4. Step 4: Simplify right side
    369.44x = 610,839.94
  5. Step 5: Solve for x
    x = 610,839.94/369.44
  6. Step 6: Final answer
    x = 1,653.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.