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Finding the Third Proportional to 128,343 and 206,775

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Solution

The third proportional to 128,343 and 206,775 is: 333,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,343 : 206,775 = 206,775 : x
  2. Step 2: Convert to fraction form
    128,343/206,775 = 206,775/x
  3. Step 3: Cross multiply
    128,343x = 206,775 × 206,775
  4. Step 4: Simplify right side
    128,343x = 42,755,900,625
  5. Step 5: Solve for x
    x = 42,755,900,625/128,343
  6. Step 6: Final answer
    x = 333,137.77

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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.