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Finding the Third Proportional to 236,978 and 519,876

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Solution

The third proportional to 236,978 and 519,876 is: 1,140,490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,978 : 519,876 = 519,876 : x
  2. Step 2: Convert to fraction form
    236,978/519,876 = 519,876/x
  3. Step 3: Cross multiply
    236,978x = 519,876 × 519,876
  4. Step 4: Simplify right side
    236,978x = 270,271,055,376
  5. Step 5: Solve for x
    x = 270,271,055,376/236,978
  6. Step 6: Final answer
    x = 1,140,490.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.