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Finding the Third Proportional to 401,378 and 550,399

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Solution

The third proportional to 401,378 and 550,399 is: 754,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,378 : 550,399 = 550,399 : x
  2. Step 2: Convert to fraction form
    401,378/550,399 = 550,399/x
  3. Step 3: Cross multiply
    401,378x = 550,399 × 550,399
  4. Step 4: Simplify right side
    401,378x = 302,939,059,201
  5. Step 5: Solve for x
    x = 302,939,059,201/401,378
  6. Step 6: Final answer
    x = 754,747.54

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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.