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Finding the Third Proportional to 325,463 and 666,781

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Solution

The third proportional to 325,463 and 666,781 is: 1,366,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,463 : 666,781 = 666,781 : x
  2. Step 2: Convert to fraction form
    325,463/666,781 = 666,781/x
  3. Step 3: Cross multiply
    325,463x = 666,781 × 666,781
  4. Step 4: Simplify right side
    325,463x = 444,596,901,961
  5. Step 5: Solve for x
    x = 444,596,901,961/325,463
  6. Step 6: Final answer
    x = 1,366,044.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.