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Finding the Third Proportional to 66,886 and 103,895

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Solution

The third proportional to 66,886 and 103,895 is: 161,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,886 : 103,895 = 103,895 : x
  2. Step 2: Convert to fraction form
    66,886/103,895 = 103,895/x
  3. Step 3: Cross multiply
    66,886x = 103,895 × 103,895
  4. Step 4: Simplify right side
    66,886x = 10,794,171,025
  5. Step 5: Solve for x
    x = 10,794,171,025/66,886
  6. Step 6: Final answer
    x = 161,381.62

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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.