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Finding the Third Proportional to 72,794 and 111,135

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Solution

The third proportional to 72,794 and 111,135 is: 169,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,794 : 111,135 = 111,135 : x
  2. Step 2: Convert to fraction form
    72,794/111,135 = 111,135/x
  3. Step 3: Cross multiply
    72,794x = 111,135 × 111,135
  4. Step 4: Simplify right side
    72,794x = 12,350,988,225
  5. Step 5: Solve for x
    x = 12,350,988,225/72,794
  6. Step 6: Final answer
    x = 169,670.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.