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Finding the Third Proportional to 383,259 and 806,242

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Solution

The third proportional to 383,259 and 806,242 is: 1,696,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,259 : 806,242 = 806,242 : x
  2. Step 2: Convert to fraction form
    383,259/806,242 = 806,242/x
  3. Step 3: Cross multiply
    383,259x = 806,242 × 806,242
  4. Step 4: Simplify right side
    383,259x = 650,026,162,564
  5. Step 5: Solve for x
    x = 650,026,162,564/383,259
  6. Step 6: Final answer
    x = 1,696,049.31

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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.