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Finding the Third Proportional to 387,383 and 839,107

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Solution

The third proportional to 387,383 and 839,107 is: 1,817,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,383 : 839,107 = 839,107 : x
  2. Step 2: Convert to fraction form
    387,383/839,107 = 839,107/x
  3. Step 3: Cross multiply
    387,383x = 839,107 × 839,107
  4. Step 4: Simplify right side
    387,383x = 704,100,557,449
  5. Step 5: Solve for x
    x = 704,100,557,449/387,383
  6. Step 6: Final answer
    x = 1,817,582.49

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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.