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Finding the Third Proportional to 299,349 and 640,206

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Solution

The third proportional to 299,349 and 640,206 is: 1,369,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,349 : 640,206 = 640,206 : x
  2. Step 2: Convert to fraction form
    299,349/640,206 = 640,206/x
  3. Step 3: Cross multiply
    299,349x = 640,206 × 640,206
  4. Step 4: Simplify right side
    299,349x = 409,863,722,436
  5. Step 5: Solve for x
    x = 409,863,722,436/299,349
  6. Step 6: Final answer
    x = 1,369,183.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.