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Finding the Third Proportional to 3,538.13 and 7,684.69

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Solution

The third proportional to 3,538.13 and 7,684.69 is: 16,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.13 : 7,684.69 = 7,684.69 : x
  2. Step 2: Convert to fraction form
    3,538.13/7,684.69 = 7,684.69/x
  3. Step 3: Cross multiply
    3,538.13x = 7,684.69 × 7,684.69
  4. Step 4: Simplify right side
    3,538.13x = 59,054,421.97
  5. Step 5: Solve for x
    x = 59,054,421.97/3,538.13
  6. Step 6: Final answer
    x = 16,690.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.