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Finding the Third Proportional to 381,476 and 837,640

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Solution

The third proportional to 381,476 and 837,640 is: 1,839,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,476 : 837,640 = 837,640 : x
  2. Step 2: Convert to fraction form
    381,476/837,640 = 837,640/x
  3. Step 3: Cross multiply
    381,476x = 837,640 × 837,640
  4. Step 4: Simplify right side
    381,476x = 701,640,769,600
  5. Step 5: Solve for x
    x = 701,640,769,600/381,476
  6. Step 6: Final answer
    x = 1,839,278.93

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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.