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Finding the Third Proportional to 30,969 and 47,451

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Solution

The third proportional to 30,969 and 47,451 is: 72,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 47,451 = 47,451 : x
  2. Step 2: Convert to fraction form
    30,969/47,451 = 47,451/x
  3. Step 3: Cross multiply
    30,969x = 47,451 × 47,451
  4. Step 4: Simplify right side
    30,969x = 2,251,597,401
  5. Step 5: Solve for x
    x = 2,251,597,401/30,969
  6. Step 6: Final answer
    x = 72,704.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.