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Finding the Third Proportional to 72,196 and 111,110

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Solution

The third proportional to 72,196 and 111,110 is: 170,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,196 : 111,110 = 111,110 : x
  2. Step 2: Convert to fraction form
    72,196/111,110 = 111,110/x
  3. Step 3: Cross multiply
    72,196x = 111,110 × 111,110
  4. Step 4: Simplify right side
    72,196x = 12,345,432,100
  5. Step 5: Solve for x
    x = 12,345,432,100/72,196
  6. Step 6: Final answer
    x = 170,998.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.