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Finding the Third Proportional to 20,304 and 30,372

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Solution

The third proportional to 20,304 and 30,372 is: 45,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304 : 30,372 = 30,372 : x
  2. Step 2: Convert to fraction form
    20,304/30,372 = 30,372/x
  3. Step 3: Cross multiply
    20,304x = 30,372 × 30,372
  4. Step 4: Simplify right side
    20,304x = 922,458,384
  5. Step 5: Solve for x
    x = 922,458,384/20,304
  6. Step 6: Final answer
    x = 45,432.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.