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Finding the Third Proportional to 401,508 and 550,556

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Solution

The third proportional to 401,508 and 550,556 is: 754,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,508 : 550,556 = 550,556 : x
  2. Step 2: Convert to fraction form
    401,508/550,556 = 550,556/x
  3. Step 3: Cross multiply
    401,508x = 550,556 × 550,556
  4. Step 4: Simplify right side
    401,508x = 303,111,909,136
  5. Step 5: Solve for x
    x = 303,111,909,136/401,508
  6. Step 6: Final answer
    x = 754,933.67

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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.