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Finding the Third Proportional to 331,512 and 509,852

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Solution

The third proportional to 331,512 and 509,852 is: 784,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,512 : 509,852 = 509,852 : x
  2. Step 2: Convert to fraction form
    331,512/509,852 = 509,852/x
  3. Step 3: Cross multiply
    331,512x = 509,852 × 509,852
  4. Step 4: Simplify right side
    331,512x = 259,949,061,904
  5. Step 5: Solve for x
    x = 259,949,061,904/331,512
  6. Step 6: Final answer
    x = 784,131.68

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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.