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Finding the Third Proportional to 389,306 and 836,805

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Solution

The third proportional to 389,306 and 836,805 is: 1,798,694.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,306 : 836,805 = 836,805 : x
  2. Step 2: Convert to fraction form
    389,306/836,805 = 836,805/x
  3. Step 3: Cross multiply
    389,306x = 836,805 × 836,805
  4. Step 4: Simplify right side
    389,306x = 700,242,608,025
  5. Step 5: Solve for x
    x = 700,242,608,025/389,306
  6. Step 6: Final answer
    x = 1,798,694.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.