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Finding the Third Proportional to 382,720 and 838,400

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Solution

The third proportional to 382,720 and 838,400 is: 1,836,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,720 : 838,400 = 838,400 : x
  2. Step 2: Convert to fraction form
    382,720/838,400 = 838,400/x
  3. Step 3: Cross multiply
    382,720x = 838,400 × 838,400
  4. Step 4: Simplify right side
    382,720x = 702,914,560,000
  5. Step 5: Solve for x
    x = 702,914,560,000/382,720
  6. Step 6: Final answer
    x = 1,836,628.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.