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Finding the Third Proportional to 78,906.94 and 122,431.22

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Solution

The third proportional to 78,906.94 and 122,431.22 is: 189,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,906.94 : 122,431.22 = 122,431.22 : x
  2. Step 2: Convert to fraction form
    78,906.94/122,431.22 = 122,431.22/x
  3. Step 3: Cross multiply
    78,906.94x = 122,431.22 × 122,431.22
  4. Step 4: Simplify right side
    78,906.94x = 14,989,403,324.61
  5. Step 5: Solve for x
    x = 14,989,403,324.61/78,906.94
  6. Step 6: Final answer
    x = 189,963.06

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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.