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Finding the Third Proportional to 19,670 and 31,439

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Solution

The third proportional to 19,670 and 31,439 is: 50,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670 : 31,439 = 31,439 : x
  2. Step 2: Convert to fraction form
    19,670/31,439 = 31,439/x
  3. Step 3: Cross multiply
    19,670x = 31,439 × 31,439
  4. Step 4: Simplify right side
    19,670x = 988,410,721
  5. Step 5: Solve for x
    x = 988,410,721/19,670
  6. Step 6: Final answer
    x = 50,249.66

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.