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Finding the Third Proportional to 335,919 and 509,208.75

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Solution

The third proportional to 335,919 and 509,208.75 is: 771,893.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,919 : 509,208.75 = 509,208.75 : x
  2. Step 2: Convert to fraction form
    335,919/509,208.75 = 509,208.75/x
  3. Step 3: Cross multiply
    335,919x = 509,208.75 × 509,208.75
  4. Step 4: Simplify right side
    335,919x = 259,293,551,076.56
  5. Step 5: Solve for x
    x = 259,293,551,076.56/335,919
  6. Step 6: Final answer
    x = 771,893.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.