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Finding the Third Proportional to 11,806.50 and 25,367

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Solution

The third proportional to 11,806.50 and 25,367 is: 54,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.50 : 25,367 = 25,367 : x
  2. Step 2: Convert to fraction form
    11,806.50/25,367 = 25,367/x
  3. Step 3: Cross multiply
    11,806.50x = 25,367 × 25,367
  4. Step 4: Simplify right side
    11,806.50x = 643,484,689
  5. Step 5: Solve for x
    x = 643,484,689/11,806.50
  6. Step 6: Final answer
    x = 54,502.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.