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Finding the Third Proportional to 185,827 and 397,888

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Solution

The third proportional to 185,827 and 397,888 is: 851,947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,827 : 397,888 = 397,888 : x
  2. Step 2: Convert to fraction form
    185,827/397,888 = 397,888/x
  3. Step 3: Cross multiply
    185,827x = 397,888 × 397,888
  4. Step 4: Simplify right side
    185,827x = 158,314,860,544
  5. Step 5: Solve for x
    x = 158,314,860,544/185,827
  6. Step 6: Final answer
    x = 851,947.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.