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Finding the Third Proportional to 335,940 and 509,242

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Solution

The third proportional to 335,940 and 509,242 is: 771,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,940 : 509,242 = 509,242 : x
  2. Step 2: Convert to fraction form
    335,940/509,242 = 509,242/x
  3. Step 3: Cross multiply
    335,940x = 509,242 × 509,242
  4. Step 4: Simplify right side
    335,940x = 259,327,414,564
  5. Step 5: Solve for x
    x = 259,327,414,564/335,940
  6. Step 6: Final answer
    x = 771,945.63

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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.