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Finding the Third Proportional to 78,891 and 122,226

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Solution

The third proportional to 78,891 and 122,226 is: 189,365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,891 : 122,226 = 122,226 : x
  2. Step 2: Convert to fraction form
    78,891/122,226 = 122,226/x
  3. Step 3: Cross multiply
    78,891x = 122,226 × 122,226
  4. Step 4: Simplify right side
    78,891x = 14,939,195,076
  5. Step 5: Solve for x
    x = 14,939,195,076/78,891
  6. Step 6: Final answer
    x = 189,365.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.