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Finding the Third Proportional to 383,284 and 806,287

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Solution

The third proportional to 383,284 and 806,287 is: 1,696,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,284 : 806,287 = 806,287 : x
  2. Step 2: Convert to fraction form
    383,284/806,287 = 806,287/x
  3. Step 3: Cross multiply
    383,284x = 806,287 × 806,287
  4. Step 4: Simplify right side
    383,284x = 650,098,726,369
  5. Step 5: Solve for x
    x = 650,098,726,369/383,284
  6. Step 6: Final answer
    x = 1,696,128.01

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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.