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Finding the Third Proportional to 613.97 and 1,343.53

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Solution

The third proportional to 613.97 and 1,343.53 is: 2,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.97 : 1,343.53 = 1,343.53 : x
  2. Step 2: Convert to fraction form
    613.97/1,343.53 = 1,343.53/x
  3. Step 3: Cross multiply
    613.97x = 1,343.53 × 1,343.53
  4. Step 4: Simplify right side
    613.97x = 1,805,076.22
  5. Step 5: Solve for x
    x = 1,805,076.22/613.97
  6. Step 6: Final answer
    x = 2,940.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.