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Finding the Third Proportional to 66,969 and 104,129

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Solution

The third proportional to 66,969 and 104,129 is: 161,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,969 : 104,129 = 104,129 : x
  2. Step 2: Convert to fraction form
    66,969/104,129 = 104,129/x
  3. Step 3: Cross multiply
    66,969x = 104,129 × 104,129
  4. Step 4: Simplify right side
    66,969x = 10,842,848,641
  5. Step 5: Solve for x
    x = 10,842,848,641/66,969
  6. Step 6: Final answer
    x = 161,908.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.