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Finding the Third Proportional to 322,112 and 727,739

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Solution

The third proportional to 322,112 and 727,739 is: 1,644,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,112 : 727,739 = 727,739 : x
  2. Step 2: Convert to fraction form
    322,112/727,739 = 727,739/x
  3. Step 3: Cross multiply
    322,112x = 727,739 × 727,739
  4. Step 4: Simplify right side
    322,112x = 529,604,052,121
  5. Step 5: Solve for x
    x = 529,604,052,121/322,112
  6. Step 6: Final answer
    x = 1,644,161.20

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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.