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Finding the Third Proportional to 331,505 and 509,843

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Solution

The third proportional to 331,505 and 509,843 is: 784,120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,505 : 509,843 = 509,843 : x
  2. Step 2: Convert to fraction form
    331,505/509,843 = 509,843/x
  3. Step 3: Cross multiply
    331,505x = 509,843 × 509,843
  4. Step 4: Simplify right side
    331,505x = 259,939,884,649
  5. Step 5: Solve for x
    x = 259,939,884,649/331,505
  6. Step 6: Final answer
    x = 784,120.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.