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Finding the Third Proportional to 65,856 and 104,616

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Solution

The third proportional to 65,856 and 104,616 is: 166,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,856 : 104,616 = 104,616 : x
  2. Step 2: Convert to fraction form
    65,856/104,616 = 104,616/x
  3. Step 3: Cross multiply
    65,856x = 104,616 × 104,616
  4. Step 4: Simplify right side
    65,856x = 10,944,507,456
  5. Step 5: Solve for x
    x = 10,944,507,456/65,856
  6. Step 6: Final answer
    x = 166,188.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.