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Finding the Third Proportional to 5,081.06 and 7,719.47

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Solution

The third proportional to 5,081.06 and 7,719.47 is: 11,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,081.06 : 7,719.47 = 7,719.47 : x
  2. Step 2: Convert to fraction form
    5,081.06/7,719.47 = 7,719.47/x
  3. Step 3: Cross multiply
    5,081.06x = 7,719.47 × 7,719.47
  4. Step 4: Simplify right side
    5,081.06x = 59,590,197.78
  5. Step 5: Solve for x
    x = 59,590,197.78/5,081.06
  6. Step 6: Final answer
    x = 11,727.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.