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Finding the Third Proportional to 279,994.50 and 378,519.75

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Solution

The third proportional to 279,994.50 and 378,519.75 is: 511,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,994.50 : 378,519.75 = 378,519.75 : x
  2. Step 2: Convert to fraction form
    279,994.50/378,519.75 = 378,519.75/x
  3. Step 3: Cross multiply
    279,994.50x = 378,519.75 × 378,519.75
  4. Step 4: Simplify right side
    279,994.50x = 143,277,201,140.06
  5. Step 5: Solve for x
    x = 143,277,201,140.06/279,994.50
  6. Step 6: Final answer
    x = 511,714.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.