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Finding the Third Proportional to 67,946 and 138,916

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Solution

The third proportional to 67,946 and 138,916 is: 284,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,946 : 138,916 = 138,916 : x
  2. Step 2: Convert to fraction form
    67,946/138,916 = 138,916/x
  3. Step 3: Cross multiply
    67,946x = 138,916 × 138,916
  4. Step 4: Simplify right side
    67,946x = 19,297,655,056
  5. Step 5: Solve for x
    x = 19,297,655,056/67,946
  6. Step 6: Final answer
    x = 284,014.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.