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Finding the Third Proportional to 3,086.81 and 6,672.19

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Solution

The third proportional to 3,086.81 and 6,672.19 is: 14,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.81 : 6,672.19 = 6,672.19 : x
  2. Step 2: Convert to fraction form
    3,086.81/6,672.19 = 6,672.19/x
  3. Step 3: Cross multiply
    3,086.81x = 6,672.19 × 6,672.19
  4. Step 4: Simplify right side
    3,086.81x = 44,518,086.04
  5. Step 5: Solve for x
    x = 44,518,086.04/3,086.81
  6. Step 6: Final answer
    x = 14,422.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.