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Finding the Third Proportional to 343.59 and 755.53

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Solution

The third proportional to 343.59 and 755.53 is: 1,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 755.53 = 755.53 : x
  2. Step 2: Convert to fraction form
    343.59/755.53 = 755.53/x
  3. Step 3: Cross multiply
    343.59x = 755.53 × 755.53
  4. Step 4: Simplify right side
    343.59x = 570,827.47
  5. Step 5: Solve for x
    x = 570,827.47/343.59
  6. Step 6: Final answer
    x = 1,661.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.