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Finding the Third Proportional to 5,509.27 and 8,081.65

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Solution

The third proportional to 5,509.27 and 8,081.65 is: 11,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.27 : 8,081.65 = 8,081.65 : x
  2. Step 2: Convert to fraction form
    5,509.27/8,081.65 = 8,081.65/x
  3. Step 3: Cross multiply
    5,509.27x = 8,081.65 × 8,081.65
  4. Step 4: Simplify right side
    5,509.27x = 65,313,041.47
  5. Step 5: Solve for x
    x = 65,313,041.47/5,509.27
  6. Step 6: Final answer
    x = 11,855.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.