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Finding the Third Proportional to 155,916 and 376,992

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Solution

The third proportional to 155,916 and 376,992 is: 911,535.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,916 : 376,992 = 376,992 : x
  2. Step 2: Convert to fraction form
    155,916/376,992 = 376,992/x
  3. Step 3: Cross multiply
    155,916x = 376,992 × 376,992
  4. Step 4: Simplify right side
    155,916x = 142,122,968,064
  5. Step 5: Solve for x
    x = 142,122,968,064/155,916
  6. Step 6: Final answer
    x = 911,535.49

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.