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Finding the Third Proportional to 401,367 and 550,388

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Solution

The third proportional to 401,367 and 550,388 is: 754,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,367 : 550,388 = 550,388 : x
  2. Step 2: Convert to fraction form
    401,367/550,388 = 550,388/x
  3. Step 3: Cross multiply
    401,367x = 550,388 × 550,388
  4. Step 4: Simplify right side
    401,367x = 302,926,950,544
  5. Step 5: Solve for x
    x = 302,926,950,544/401,367
  6. Step 6: Final answer
    x = 754,738.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.