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Finding the Third Proportional to 383,439 and 806,530

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Solution

The third proportional to 383,439 and 806,530 is: 1,696,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,439 : 806,530 = 806,530 : x
  2. Step 2: Convert to fraction form
    383,439/806,530 = 806,530/x
  3. Step 3: Cross multiply
    383,439x = 806,530 × 806,530
  4. Step 4: Simplify right side
    383,439x = 650,490,640,900
  5. Step 5: Solve for x
    x = 650,490,640,900/383,439
  6. Step 6: Final answer
    x = 1,696,464.47

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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.