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Finding the Third Proportional to 322,108 and 727,731

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Solution

The third proportional to 322,108 and 727,731 is: 1,644,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,108 : 727,731 = 727,731 : x
  2. Step 2: Convert to fraction form
    322,108/727,731 = 727,731/x
  3. Step 3: Cross multiply
    322,108x = 727,731 × 727,731
  4. Step 4: Simplify right side
    322,108x = 529,592,408,361
  5. Step 5: Solve for x
    x = 529,592,408,361/322,108
  6. Step 6: Final answer
    x = 1,644,145.47

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.