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Finding the Third Proportional to 379,163 and 825,280

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Solution

The third proportional to 379,163 and 825,280 is: 1,796,290.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,163 : 825,280 = 825,280 : x
  2. Step 2: Convert to fraction form
    379,163/825,280 = 825,280/x
  3. Step 3: Cross multiply
    379,163x = 825,280 × 825,280
  4. Step 4: Simplify right side
    379,163x = 681,087,078,400
  5. Step 5: Solve for x
    x = 681,087,078,400/379,163
  6. Step 6: Final answer
    x = 1,796,290.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.