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Finding the Third Proportional to 67,422 and 136,758

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Solution

The third proportional to 67,422 and 136,758 is: 277,398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,422 : 136,758 = 136,758 : x
  2. Step 2: Convert to fraction form
    67,422/136,758 = 136,758/x
  3. Step 3: Cross multiply
    67,422x = 136,758 × 136,758
  4. Step 4: Simplify right side
    67,422x = 18,702,750,564
  5. Step 5: Solve for x
    x = 18,702,750,564/67,422
  6. Step 6: Final answer
    x = 277,398.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.