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Finding the Third Proportional to 5,172.75 and 8,209.13

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Solution

The third proportional to 5,172.75 and 8,209.13 is: 13,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,172.75 : 8,209.13 = 8,209.13 : x
  2. Step 2: Convert to fraction form
    5,172.75/8,209.13 = 8,209.13/x
  3. Step 3: Cross multiply
    5,172.75x = 8,209.13 × 8,209.13
  4. Step 4: Simplify right side
    5,172.75x = 67,389,733.27
  5. Step 5: Solve for x
    x = 67,389,733.27/5,172.75
  6. Step 6: Final answer
    x = 13,027.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.