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Finding the Third Proportional to 133,078 and 206,625

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Solution

The third proportional to 133,078 and 206,625 is: 320,818.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 206,625 = 206,625 : x
  2. Step 2: Convert to fraction form
    133,078/206,625 = 206,625/x
  3. Step 3: Cross multiply
    133,078x = 206,625 × 206,625
  4. Step 4: Simplify right side
    133,078x = 42,693,890,625
  5. Step 5: Solve for x
    x = 42,693,890,625/133,078
  6. Step 6: Final answer
    x = 320,818.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.