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Finding the Third Proportional to 68,832 and 101,968

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Solution

The third proportional to 68,832 and 101,968 is: 151,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,832 : 101,968 = 101,968 : x
  2. Step 2: Convert to fraction form
    68,832/101,968 = 101,968/x
  3. Step 3: Cross multiply
    68,832x = 101,968 × 101,968
  4. Step 4: Simplify right side
    68,832x = 10,397,473,024
  5. Step 5: Solve for x
    x = 10,397,473,024/68,832
  6. Step 6: Final answer
    x = 151,055.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.