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Finding the Third Proportional to 72,104 and 105,968

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Solution

The third proportional to 72,104 and 105,968 is: 155,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,104 : 105,968 = 105,968 : x
  2. Step 2: Convert to fraction form
    72,104/105,968 = 105,968/x
  3. Step 3: Cross multiply
    72,104x = 105,968 × 105,968
  4. Step 4: Simplify right side
    72,104x = 11,229,217,024
  5. Step 5: Solve for x
    x = 11,229,217,024/72,104
  6. Step 6: Final answer
    x = 155,736.39

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.