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Finding the Third Proportional to 3,687.75 and 5,643.75

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Solution

The third proportional to 3,687.75 and 5,643.75 is: 8,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.75 : 5,643.75 = 5,643.75 : x
  2. Step 2: Convert to fraction form
    3,687.75/5,643.75 = 5,643.75/x
  3. Step 3: Cross multiply
    3,687.75x = 5,643.75 × 5,643.75
  4. Step 4: Simplify right side
    3,687.75x = 31,851,914.06
  5. Step 5: Solve for x
    x = 31,851,914.06/3,687.75
  6. Step 6: Final answer
    x = 8,637.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.