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Finding the Third Proportional to 3,977.86 and 8,536.64

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Solution

The third proportional to 3,977.86 and 8,536.64 is: 18,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.86 : 8,536.64 = 8,536.64 : x
  2. Step 2: Convert to fraction form
    3,977.86/8,536.64 = 8,536.64/x
  3. Step 3: Cross multiply
    3,977.86x = 8,536.64 × 8,536.64
  4. Step 4: Simplify right side
    3,977.86x = 72,874,233.16
  5. Step 5: Solve for x
    x = 72,874,233.16/3,977.86
  6. Step 6: Final answer
    x = 18,319.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.