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Finding the Third Proportional to 128,005 and 169,857

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Solution

The third proportional to 128,005 and 169,857 is: 225,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,005 : 169,857 = 169,857 : x
  2. Step 2: Convert to fraction form
    128,005/169,857 = 169,857/x
  3. Step 3: Cross multiply
    128,005x = 169,857 × 169,857
  4. Step 4: Simplify right side
    128,005x = 28,851,400,449
  5. Step 5: Solve for x
    x = 28,851,400,449/128,005
  6. Step 6: Final answer
    x = 225,392.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.