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Finding the Third Proportional to 3,755.53 and 5,643.42

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Solution

The third proportional to 3,755.53 and 5,643.42 is: 8,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.53 : 5,643.42 = 5,643.42 : x
  2. Step 2: Convert to fraction form
    3,755.53/5,643.42 = 5,643.42/x
  3. Step 3: Cross multiply
    3,755.53x = 5,643.42 × 5,643.42
  4. Step 4: Simplify right side
    3,755.53x = 31,848,210.46
  5. Step 5: Solve for x
    x = 31,848,210.46/3,755.53
  6. Step 6: Final answer
    x = 8,480.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.