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Finding the Third Proportional to 3,723.79 and 7,987.68

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Solution

The third proportional to 3,723.79 and 7,987.68 is: 17,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.79 : 7,987.68 = 7,987.68 : x
  2. Step 2: Convert to fraction form
    3,723.79/7,987.68 = 7,987.68/x
  3. Step 3: Cross multiply
    3,723.79x = 7,987.68 × 7,987.68
  4. Step 4: Simplify right side
    3,723.79x = 63,802,964.39
  5. Step 5: Solve for x
    x = 63,802,964.39/3,723.79
  6. Step 6: Final answer
    x = 17,133.90

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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.