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Finding the Third Proportional to 66,759 and 103,968

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Solution

The third proportional to 66,759 and 103,968 is: 161,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,759 : 103,968 = 103,968 : x
  2. Step 2: Convert to fraction form
    66,759/103,968 = 103,968/x
  3. Step 3: Cross multiply
    66,759x = 103,968 × 103,968
  4. Step 4: Simplify right side
    66,759x = 10,809,345,024
  5. Step 5: Solve for x
    x = 10,809,345,024/66,759
  6. Step 6: Final answer
    x = 161,915.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.