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Finding the Third Proportional to 66,781 and 104,001

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Solution

The third proportional to 66,781 and 104,001 is: 161,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,781 : 104,001 = 104,001 : x
  2. Step 2: Convert to fraction form
    66,781/104,001 = 104,001/x
  3. Step 3: Cross multiply
    66,781x = 104,001 × 104,001
  4. Step 4: Simplify right side
    66,781x = 10,816,208,001
  5. Step 5: Solve for x
    x = 10,816,208,001/66,781
  6. Step 6: Final answer
    x = 161,965.35

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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.