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Finding the Third Proportional to 12,757.50 and 19,149

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Solution

The third proportional to 12,757.50 and 19,149 is: 28,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757.50 : 19,149 = 19,149 : x
  2. Step 2: Convert to fraction form
    12,757.50/19,149 = 19,149/x
  3. Step 3: Cross multiply
    12,757.50x = 19,149 × 19,149
  4. Step 4: Simplify right side
    12,757.50x = 366,684,201
  5. Step 5: Solve for x
    x = 366,684,201/12,757.50
  6. Step 6: Final answer
    x = 28,742.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.