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Finding the Third Proportional to 335,936 and 509,236

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Solution

The third proportional to 335,936 and 509,236 is: 771,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,936 : 509,236 = 509,236 : x
  2. Step 2: Convert to fraction form
    335,936/509,236 = 509,236/x
  3. Step 3: Cross multiply
    335,936x = 509,236 × 509,236
  4. Step 4: Simplify right side
    335,936x = 259,321,303,696
  5. Step 5: Solve for x
    x = 259,321,303,696/335,936
  6. Step 6: Final answer
    x = 771,936.63

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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.