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Finding the Third Proportional to 128,322 and 206,739

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Solution

The third proportional to 128,322 and 206,739 is: 333,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,322 : 206,739 = 206,739 : x
  2. Step 2: Convert to fraction form
    128,322/206,739 = 206,739/x
  3. Step 3: Cross multiply
    128,322x = 206,739 × 206,739
  4. Step 4: Simplify right side
    128,322x = 42,741,014,121
  5. Step 5: Solve for x
    x = 42,741,014,121/128,322
  6. Step 6: Final answer
    x = 333,076.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.