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Finding the Third Proportional to 258,714 and 556,794

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Solution

The third proportional to 258,714 and 556,794 is: 1,198,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,714 : 556,794 = 556,794 : x
  2. Step 2: Convert to fraction form
    258,714/556,794 = 556,794/x
  3. Step 3: Cross multiply
    258,714x = 556,794 × 556,794
  4. Step 4: Simplify right side
    258,714x = 310,019,558,436
  5. Step 5: Solve for x
    x = 310,019,558,436/258,714
  6. Step 6: Final answer
    x = 1,198,309.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.