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Finding the Third Proportional to 387,338 and 839,017

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Solution

The third proportional to 387,338 and 839,017 is: 1,817,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,338 : 839,017 = 839,017 : x
  2. Step 2: Convert to fraction form
    387,338/839,017 = 839,017/x
  3. Step 3: Cross multiply
    387,338x = 839,017 × 839,017
  4. Step 4: Simplify right side
    387,338x = 703,949,526,289
  5. Step 5: Solve for x
    x = 703,949,526,289/387,338
  6. Step 6: Final answer
    x = 1,817,403.73

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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.