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Finding the Third Proportional to 13,500 and 20,348

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Solution

The third proportional to 13,500 and 20,348 is: 30,669.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500 : 20,348 = 20,348 : x
  2. Step 2: Convert to fraction form
    13,500/20,348 = 20,348/x
  3. Step 3: Cross multiply
    13,500x = 20,348 × 20,348
  4. Step 4: Simplify right side
    13,500x = 414,041,104
  5. Step 5: Solve for x
    x = 414,041,104/13,500
  6. Step 6: Final answer
    x = 30,669.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.