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Finding the Third Proportional to 381,840 and 518,328

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Solution

The third proportional to 381,840 and 518,328 is: 703,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,840 : 518,328 = 518,328 : x
  2. Step 2: Convert to fraction form
    381,840/518,328 = 518,328/x
  3. Step 3: Cross multiply
    381,840x = 518,328 × 518,328
  4. Step 4: Simplify right side
    381,840x = 268,663,915,584
  5. Step 5: Solve for x
    x = 268,663,915,584/381,840
  6. Step 6: Final answer
    x = 703,603.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.