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Finding the Third Proportional to 379,308 and 814,858

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Solution

The third proportional to 379,308 and 814,858 is: 1,750,539.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,308 : 814,858 = 814,858 : x
  2. Step 2: Convert to fraction form
    379,308/814,858 = 814,858/x
  3. Step 3: Cross multiply
    379,308x = 814,858 × 814,858
  4. Step 4: Simplify right side
    379,308x = 663,993,560,164
  5. Step 5: Solve for x
    x = 663,993,560,164/379,308
  6. Step 6: Final answer
    x = 1,750,539.30

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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.