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Finding the Third Proportional to 382,728 and 838,416

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Solution

The third proportional to 382,728 and 838,416 is: 1,836,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,728 : 838,416 = 838,416 : x
  2. Step 2: Convert to fraction form
    382,728/838,416 = 838,416/x
  3. Step 3: Cross multiply
    382,728x = 838,416 × 838,416
  4. Step 4: Simplify right side
    382,728x = 702,941,389,056
  5. Step 5: Solve for x
    x = 702,941,389,056/382,728
  6. Step 6: Final answer
    x = 1,836,660.47

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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.