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Finding the Third Proportional to 367,409 and 520,027

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Solution

The third proportional to 367,409 and 520,027 is: 736,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,409 : 520,027 = 520,027 : x
  2. Step 2: Convert to fraction form
    367,409/520,027 = 520,027/x
  3. Step 3: Cross multiply
    367,409x = 520,027 × 520,027
  4. Step 4: Simplify right side
    367,409x = 270,428,080,729
  5. Step 5: Solve for x
    x = 270,428,080,729/367,409
  6. Step 6: Final answer
    x = 736,040.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.