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Finding the Third Proportional to 3,815.86 and 8,529.47

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Solution

The third proportional to 3,815.86 and 8,529.47 is: 19,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.86 : 8,529.47 = 8,529.47 : x
  2. Step 2: Convert to fraction form
    3,815.86/8,529.47 = 8,529.47/x
  3. Step 3: Cross multiply
    3,815.86x = 8,529.47 × 8,529.47
  4. Step 4: Simplify right side
    3,815.86x = 72,751,837.16
  5. Step 5: Solve for x
    x = 72,751,837.16/3,815.86
  6. Step 6: Final answer
    x = 19,065.65

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.