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Finding the Third Proportional to 322,109 and 727,735

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Solution

The third proportional to 322,109 and 727,735 is: 1,644,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,109 : 727,735 = 727,735 : x
  2. Step 2: Convert to fraction form
    322,109/727,735 = 727,735/x
  3. Step 3: Cross multiply
    322,109x = 727,735 × 727,735
  4. Step 4: Simplify right side
    322,109x = 529,598,230,225
  5. Step 5: Solve for x
    x = 529,598,230,225/322,109
  6. Step 6: Final answer
    x = 1,644,158.44

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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.