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Finding the Third Proportional to 78,942 and 122,205

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Solution

The third proportional to 78,942 and 122,205 is: 189,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,942 : 122,205 = 122,205 : x
  2. Step 2: Convert to fraction form
    78,942/122,205 = 122,205/x
  3. Step 3: Cross multiply
    78,942x = 122,205 × 122,205
  4. Step 4: Simplify right side
    78,942x = 14,934,062,025
  5. Step 5: Solve for x
    x = 14,934,062,025/78,942
  6. Step 6: Final answer
    x = 189,177.65

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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.