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Finding the Third Proportional to 185,830 and 397,894

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Solution

The third proportional to 185,830 and 397,894 is: 851,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,830 : 397,894 = 397,894 : x
  2. Step 2: Convert to fraction form
    185,830/397,894 = 397,894/x
  3. Step 3: Cross multiply
    185,830x = 397,894 × 397,894
  4. Step 4: Simplify right side
    185,830x = 158,319,635,236
  5. Step 5: Solve for x
    x = 158,319,635,236/185,830
  6. Step 6: Final answer
    x = 851,959.51

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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.