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Finding the Third Proportional to 335,990 and 520,235

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Solution

The third proportional to 335,990 and 520,235 is: 805,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,990 : 520,235 = 520,235 : x
  2. Step 2: Convert to fraction form
    335,990/520,235 = 520,235/x
  3. Step 3: Cross multiply
    335,990x = 520,235 × 520,235
  4. Step 4: Simplify right side
    335,990x = 270,644,455,225
  5. Step 5: Solve for x
    x = 270,644,455,225/335,990
  6. Step 6: Final answer
    x = 805,513.42

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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.