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Finding the Third Proportional to 380,821 and 836,362

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Solution

The third proportional to 380,821 and 836,362 is: 1,836,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,821 : 836,362 = 836,362 : x
  2. Step 2: Convert to fraction form
    380,821/836,362 = 836,362/x
  3. Step 3: Cross multiply
    380,821x = 836,362 × 836,362
  4. Step 4: Simplify right side
    380,821x = 699,501,395,044
  5. Step 5: Solve for x
    x = 699,501,395,044/380,821
  6. Step 6: Final answer
    x = 1,836,824.64

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