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Finding the Third Proportional to 31,420 and 47,198

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Solution

The third proportional to 31,420 and 47,198 is: 70,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420 : 47,198 = 47,198 : x
  2. Step 2: Convert to fraction form
    31,420/47,198 = 47,198/x
  3. Step 3: Cross multiply
    31,420x = 47,198 × 47,198
  4. Step 4: Simplify right side
    31,420x = 2,227,651,204
  5. Step 5: Solve for x
    x = 2,227,651,204/31,420
  6. Step 6: Final answer
    x = 70,899.15

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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.