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Finding the Third Proportional to 84,067 and 128,540

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Solution

The third proportional to 84,067 and 128,540 is: 196,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,067 : 128,540 = 128,540 : x
  2. Step 2: Convert to fraction form
    84,067/128,540 = 128,540/x
  3. Step 3: Cross multiply
    84,067x = 128,540 × 128,540
  4. Step 4: Simplify right side
    84,067x = 16,522,531,600
  5. Step 5: Solve for x
    x = 16,522,531,600/84,067
  6. Step 6: Final answer
    x = 196,540.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.