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Finding the Third Proportional to 72,196 and 108,610

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Solution

The third proportional to 72,196 and 108,610 is: 163,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,196 : 108,610 = 108,610 : x
  2. Step 2: Convert to fraction form
    72,196/108,610 = 108,610/x
  3. Step 3: Cross multiply
    72,196x = 108,610 × 108,610
  4. Step 4: Simplify right side
    72,196x = 11,796,132,100
  5. Step 5: Solve for x
    x = 11,796,132,100/72,196
  6. Step 6: Final answer
    x = 163,390.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.