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Finding the Third Proportional to 368,345 and 519,916

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Solution

The third proportional to 368,345 and 519,916 is: 733,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,345 : 519,916 = 519,916 : x
  2. Step 2: Convert to fraction form
    368,345/519,916 = 519,916/x
  3. Step 3: Cross multiply
    368,345x = 519,916 × 519,916
  4. Step 4: Simplify right side
    368,345x = 270,312,647,056
  5. Step 5: Solve for x
    x = 270,312,647,056/368,345
  6. Step 6: Final answer
    x = 733,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.