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Finding the Third Proportional to 401,556 and 550,641

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Solution

The third proportional to 401,556 and 550,641 is: 755,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,556 : 550,641 = 550,641 : x
  2. Step 2: Convert to fraction form
    401,556/550,641 = 550,641/x
  3. Step 3: Cross multiply
    401,556x = 550,641 × 550,641
  4. Step 4: Simplify right side
    401,556x = 303,205,510,881
  5. Step 5: Solve for x
    x = 303,205,510,881/401,556
  6. Step 6: Final answer
    x = 755,076.53

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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.