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Finding the Third Proportional to 20,078 and 29,827

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Solution

The third proportional to 20,078 and 29,827 is: 44,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078 : 29,827 = 29,827 : x
  2. Step 2: Convert to fraction form
    20,078/29,827 = 29,827/x
  3. Step 3: Cross multiply
    20,078x = 29,827 × 29,827
  4. Step 4: Simplify right side
    20,078x = 889,649,929
  5. Step 5: Solve for x
    x = 889,649,929/20,078
  6. Step 6: Final answer
    x = 44,309.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.