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Finding the Third Proportional to 380,565 and 836,463

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Solution

The third proportional to 380,565 and 836,463 is: 1,838,504.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,565 : 836,463 = 836,463 : x
  2. Step 2: Convert to fraction form
    380,565/836,463 = 836,463/x
  3. Step 3: Cross multiply
    380,565x = 836,463 × 836,463
  4. Step 4: Simplify right side
    380,565x = 699,670,350,369
  5. Step 5: Solve for x
    x = 699,670,350,369/380,565
  6. Step 6: Final answer
    x = 1,838,504.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.