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Finding the Third Proportional to 206,173.87 and 319,236.86

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Solution

The third proportional to 206,173.87 and 319,236.86 is: 494,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,173.87 : 319,236.86 = 319,236.86 : x
  2. Step 2: Convert to fraction form
    206,173.87/319,236.86 = 319,236.86/x
  3. Step 3: Cross multiply
    206,173.87x = 319,236.86 × 319,236.86
  4. Step 4: Simplify right side
    206,173.87x = 101,912,172,695.37
  5. Step 5: Solve for x
    x = 101,912,172,695.37/206,173.87
  6. Step 6: Final answer
    x = 494,302.07

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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.