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Finding the Third Proportional to 335,979 and 520,221

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Solution

The third proportional to 335,979 and 520,221 is: 805,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,979 : 520,221 = 520,221 : x
  2. Step 2: Convert to fraction form
    335,979/520,221 = 520,221/x
  3. Step 3: Cross multiply
    335,979x = 520,221 × 520,221
  4. Step 4: Simplify right side
    335,979x = 270,629,888,841
  5. Step 5: Solve for x
    x = 270,629,888,841/335,979
  6. Step 6: Final answer
    x = 805,496.44

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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.