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Finding the Third Proportional to 299,223 and 649,311

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Solution

The third proportional to 299,223 and 649,311 is: 1,408,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,223 : 649,311 = 649,311 : x
  2. Step 2: Convert to fraction form
    299,223/649,311 = 649,311/x
  3. Step 3: Cross multiply
    299,223x = 649,311 × 649,311
  4. Step 4: Simplify right side
    299,223x = 421,604,774,721
  5. Step 5: Solve for x
    x = 421,604,774,721/299,223
  6. Step 6: Final answer
    x = 1,408,998.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.