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Finding the Third Proportional to 282,406 and 550,621

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Solution

The third proportional to 282,406 and 550,621 is: 1,073,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,406 : 550,621 = 550,621 : x
  2. Step 2: Convert to fraction form
    282,406/550,621 = 550,621/x
  3. Step 3: Cross multiply
    282,406x = 550,621 × 550,621
  4. Step 4: Simplify right side
    282,406x = 303,183,485,641
  5. Step 5: Solve for x
    x = 303,183,485,641/282,406
  6. Step 6: Final answer
    x = 1,073,573.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.