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Finding the Third Proportional to 3,587.25 and 5,540.63

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Solution

The third proportional to 3,587.25 and 5,540.63 is: 8,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.25 : 5,540.63 = 5,540.63 : x
  2. Step 2: Convert to fraction form
    3,587.25/5,540.63 = 5,540.63/x
  3. Step 3: Cross multiply
    3,587.25x = 5,540.63 × 5,540.63
  4. Step 4: Simplify right side
    3,587.25x = 30,698,525.39
  5. Step 5: Solve for x
    x = 30,698,525.39/3,587.25
  6. Step 6: Final answer
    x = 8,557.68

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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.