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Finding the Third Proportional to 395,178 and 850,377

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Solution

The third proportional to 395,178 and 850,377 is: 1,829,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,178 : 850,377 = 850,377 : x
  2. Step 2: Convert to fraction form
    395,178/850,377 = 850,377/x
  3. Step 3: Cross multiply
    395,178x = 850,377 × 850,377
  4. Step 4: Simplify right side
    395,178x = 723,141,042,129
  5. Step 5: Solve for x
    x = 723,141,042,129/395,178
  6. Step 6: Final answer
    x = 1,829,912.20

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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.