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Finding the Third Proportional to 21,516.75 and 28,914.75

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Solution

The third proportional to 21,516.75 and 28,914.75 is: 38,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.75 : 28,914.75 = 28,914.75 : x
  2. Step 2: Convert to fraction form
    21,516.75/28,914.75 = 28,914.75/x
  3. Step 3: Cross multiply
    21,516.75x = 28,914.75 × 28,914.75
  4. Step 4: Simplify right side
    21,516.75x = 836,062,767.56
  5. Step 5: Solve for x
    x = 836,062,767.56/21,516.75
  6. Step 6: Final answer
    x = 38,856.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.