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Finding the Third Proportional to 66,867 and 139,338

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Solution

The third proportional to 66,867 and 139,338 is: 290,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,867 : 139,338 = 139,338 : x
  2. Step 2: Convert to fraction form
    66,867/139,338 = 139,338/x
  3. Step 3: Cross multiply
    66,867x = 139,338 × 139,338
  4. Step 4: Simplify right side
    66,867x = 19,415,078,244
  5. Step 5: Solve for x
    x = 19,415,078,244/66,867
  6. Step 6: Final answer
    x = 290,353.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.