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Finding the Third Proportional to 5,671.69 and 8,661.09

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Solution

The third proportional to 5,671.69 and 8,661.09 is: 13,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.69 : 8,661.09 = 8,661.09 : x
  2. Step 2: Convert to fraction form
    5,671.69/8,661.09 = 8,661.09/x
  3. Step 3: Cross multiply
    5,671.69x = 8,661.09 × 8,661.09
  4. Step 4: Simplify right side
    5,671.69x = 75,014,544.95
  5. Step 5: Solve for x
    x = 75,014,544.95/5,671.69
  6. Step 6: Final answer
    x = 13,226.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.