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Finding the Third Proportional to 355,702 and 839,656

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Solution

The third proportional to 355,702 and 839,656 is: 1,982,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,702 : 839,656 = 839,656 : x
  2. Step 2: Convert to fraction form
    355,702/839,656 = 839,656/x
  3. Step 3: Cross multiply
    355,702x = 839,656 × 839,656
  4. Step 4: Simplify right side
    355,702x = 705,022,198,336
  5. Step 5: Solve for x
    x = 705,022,198,336/355,702
  6. Step 6: Final answer
    x = 1,982,058.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.