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Finding the Third Proportional to 7,517.81 and 11,688.05

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Solution

The third proportional to 7,517.81 and 11,688.05 is: 18,171.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,517.81 : 11,688.05 = 11,688.05 : x
  2. Step 2: Convert to fraction form
    7,517.81/11,688.05 = 11,688.05/x
  3. Step 3: Cross multiply
    7,517.81x = 11,688.05 × 11,688.05
  4. Step 4: Simplify right side
    7,517.81x = 136,610,439.75
  5. Step 5: Solve for x
    x = 136,610,439.75/7,517.81
  6. Step 6: Final answer
    x = 18,171.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.