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Finding the Third Proportional to 30,728 and 47,199

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Solution

The third proportional to 30,728 and 47,199 is: 72,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,728 : 47,199 = 47,199 : x
  2. Step 2: Convert to fraction form
    30,728/47,199 = 47,199/x
  3. Step 3: Cross multiply
    30,728x = 47,199 × 47,199
  4. Step 4: Simplify right side
    30,728x = 2,227,745,601
  5. Step 5: Solve for x
    x = 2,227,745,601/30,728
  6. Step 6: Final answer
    x = 72,498.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.