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Finding the Third Proportional to 3,557.25 and 4,759.88

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Solution

The third proportional to 3,557.25 and 4,759.88 is: 6,369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.25 : 4,759.88 = 4,759.88 : x
  2. Step 2: Convert to fraction form
    3,557.25/4,759.88 = 4,759.88/x
  3. Step 3: Cross multiply
    3,557.25x = 4,759.88 × 4,759.88
  4. Step 4: Simplify right side
    3,557.25x = 22,656,410.02
  5. Step 5: Solve for x
    x = 22,656,410.02/3,557.25
  6. Step 6: Final answer
    x = 6,369.08

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.