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Finding the Third Proportional to 3,679.88 and 5,685.19

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Solution

The third proportional to 3,679.88 and 5,685.19 is: 8,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.88 : 5,685.19 = 5,685.19 : x
  2. Step 2: Convert to fraction form
    3,679.88/5,685.19 = 5,685.19/x
  3. Step 3: Cross multiply
    3,679.88x = 5,685.19 × 5,685.19
  4. Step 4: Simplify right side
    3,679.88x = 32,321,356.91
  5. Step 5: Solve for x
    x = 32,321,356.91/3,679.88
  6. Step 6: Final answer
    x = 8,783.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.