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Finding the Third Proportional to 381,388 and 517,971

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Solution

The third proportional to 381,388 and 517,971 is: 703,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,388 : 517,971 = 517,971 : x
  2. Step 2: Convert to fraction form
    381,388/517,971 = 517,971/x
  3. Step 3: Cross multiply
    381,388x = 517,971 × 517,971
  4. Step 4: Simplify right side
    381,388x = 268,293,956,841
  5. Step 5: Solve for x
    x = 268,293,956,841/381,388
  6. Step 6: Final answer
    x = 703,467.22

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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.