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Finding the Third Proportional to 20,392 and 37,400

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Solution

The third proportional to 20,392 and 37,400 is: 68,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392 : 37,400 = 37,400 : x
  2. Step 2: Convert to fraction form
    20,392/37,400 = 37,400/x
  3. Step 3: Cross multiply
    20,392x = 37,400 × 37,400
  4. Step 4: Simplify right side
    20,392x = 1,398,760,000
  5. Step 5: Solve for x
    x = 1,398,760,000/20,392
  6. Step 6: Final answer
    x = 68,593.57

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.