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Finding the Third Proportional to 335,991 and 520,236

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Solution

The third proportional to 335,991 and 520,236 is: 805,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,991 : 520,236 = 520,236 : x
  2. Step 2: Convert to fraction form
    335,991/520,236 = 520,236/x
  3. Step 3: Cross multiply
    335,991x = 520,236 × 520,236
  4. Step 4: Simplify right side
    335,991x = 270,645,495,696
  5. Step 5: Solve for x
    x = 270,645,495,696/335,991
  6. Step 6: Final answer
    x = 805,514.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.