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Finding the Third Proportional to 269,116 and 620,285

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Solution

The third proportional to 269,116 and 620,285 is: 1,429,693.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,116 : 620,285 = 620,285 : x
  2. Step 2: Convert to fraction form
    269,116/620,285 = 620,285/x
  3. Step 3: Cross multiply
    269,116x = 620,285 × 620,285
  4. Step 4: Simplify right side
    269,116x = 384,753,481,225
  5. Step 5: Solve for x
    x = 384,753,481,225/269,116
  6. Step 6: Final answer
    x = 1,429,693.82

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.