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Finding the Third Proportional to 30,920 and 49,782

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Solution

The third proportional to 30,920 and 49,782 is: 80,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920 : 49,782 = 49,782 : x
  2. Step 2: Convert to fraction form
    30,920/49,782 = 49,782/x
  3. Step 3: Cross multiply
    30,920x = 49,782 × 49,782
  4. Step 4: Simplify right side
    30,920x = 2,478,247,524
  5. Step 5: Solve for x
    x = 2,478,247,524/30,920
  6. Step 6: Final answer
    x = 80,150.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.