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Finding the Third Proportional to 13,149 and 20,367

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Solution

The third proportional to 13,149 and 20,367 is: 31,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 20,367 = 20,367 : x
  2. Step 2: Convert to fraction form
    13,149/20,367 = 20,367/x
  3. Step 3: Cross multiply
    13,149x = 20,367 × 20,367
  4. Step 4: Simplify right side
    13,149x = 414,814,689
  5. Step 5: Solve for x
    x = 414,814,689/13,149
  6. Step 6: Final answer
    x = 31,547.24

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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.