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Finding the Third Proportional to 181,866 and 395,210

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Solution

The third proportional to 181,866 and 395,210 is: 858,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,866 : 395,210 = 395,210 : x
  2. Step 2: Convert to fraction form
    181,866/395,210 = 395,210/x
  3. Step 3: Cross multiply
    181,866x = 395,210 × 395,210
  4. Step 4: Simplify right side
    181,866x = 156,190,944,100
  5. Step 5: Solve for x
    x = 156,190,944,100/181,866
  6. Step 6: Final answer
    x = 858,824.32

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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.