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Finding the Third Proportional to 383,259 and 806,208

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Solution

The third proportional to 383,259 and 806,208 is: 1,695,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,259 : 806,208 = 806,208 : x
  2. Step 2: Convert to fraction form
    383,259/806,208 = 806,208/x
  3. Step 3: Cross multiply
    383,259x = 806,208 × 806,208
  4. Step 4: Simplify right side
    383,259x = 649,971,339,264
  5. Step 5: Solve for x
    x = 649,971,339,264/383,259
  6. Step 6: Final answer
    x = 1,695,906.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.