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Finding the Third Proportional to 3,728.53 and 5,268.80

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Solution

The third proportional to 3,728.53 and 5,268.80 is: 7,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.53 : 5,268.80 = 5,268.80 : x
  2. Step 2: Convert to fraction form
    3,728.53/5,268.80 = 5,268.80/x
  3. Step 3: Cross multiply
    3,728.53x = 5,268.80 × 5,268.80
  4. Step 4: Simplify right side
    3,728.53x = 27,760,220.51
  5. Step 5: Solve for x
    x = 27,760,220.51/3,728.53
  6. Step 6: Final answer
    x = 7,445.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.