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Finding the Third Proportional to 335,978 and 520,219

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Solution

The third proportional to 335,978 and 520,219 is: 805,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,978 : 520,219 = 520,219 : x
  2. Step 2: Convert to fraction form
    335,978/520,219 = 520,219/x
  3. Step 3: Cross multiply
    335,978x = 520,219 × 520,219
  4. Step 4: Simplify right side
    335,978x = 270,627,807,961
  5. Step 5: Solve for x
    x = 270,627,807,961/335,978
  6. Step 6: Final answer
    x = 805,492.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.