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Finding the Third Proportional to 11,688.50 and 16,440.75

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Solution

The third proportional to 11,688.50 and 16,440.75 is: 23,125.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.50 : 16,440.75 = 16,440.75 : x
  2. Step 2: Convert to fraction form
    11,688.50/16,440.75 = 16,440.75/x
  3. Step 3: Cross multiply
    11,688.50x = 16,440.75 × 16,440.75
  4. Step 4: Simplify right side
    11,688.50x = 270,298,260.56
  5. Step 5: Solve for x
    x = 270,298,260.56/11,688.50
  6. Step 6: Final answer
    x = 23,125.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.