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Finding the Third Proportional to 367,399 and 520,012

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Solution

The third proportional to 367,399 and 520,012 is: 736,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,399 : 520,012 = 520,012 : x
  2. Step 2: Convert to fraction form
    367,399/520,012 = 520,012/x
  3. Step 3: Cross multiply
    367,399x = 520,012 × 520,012
  4. Step 4: Simplify right side
    367,399x = 270,412,480,144
  5. Step 5: Solve for x
    x = 270,412,480,144/367,399
  6. Step 6: Final answer
    x = 736,018.55

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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.