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Finding the Third Proportional to 3,584.88 and 7,719.13

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Solution

The third proportional to 3,584.88 and 7,719.13 is: 16,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.88 : 7,719.13 = 7,719.13 : x
  2. Step 2: Convert to fraction form
    3,584.88/7,719.13 = 7,719.13/x
  3. Step 3: Cross multiply
    3,584.88x = 7,719.13 × 7,719.13
  4. Step 4: Simplify right side
    3,584.88x = 59,584,890.77
  5. Step 5: Solve for x
    x = 59,584,890.77/3,584.88
  6. Step 6: Final answer
    x = 16,621.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.