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Finding the Third Proportional to 206,615.97 and 319,274.24

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Solution

The third proportional to 206,615.97 and 319,274.24 is: 493,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,615.97 : 319,274.24 = 319,274.24 : x
  2. Step 2: Convert to fraction form
    206,615.97/319,274.24 = 319,274.24/x
  3. Step 3: Cross multiply
    206,615.97x = 319,274.24 × 319,274.24
  4. Step 4: Simplify right side
    206,615.97x = 101,936,037,359.33
  5. Step 5: Solve for x
    x = 101,936,037,359.33/206,615.97
  6. Step 6: Final answer
    x = 493,359.91

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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.