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Finding the Third Proportional to 422,441 and 879,830

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Solution

The third proportional to 422,441 and 879,830 is: 1,832,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,441 : 879,830 = 879,830 : x
  2. Step 2: Convert to fraction form
    422,441/879,830 = 879,830/x
  3. Step 3: Cross multiply
    422,441x = 879,830 × 879,830
  4. Step 4: Simplify right side
    422,441x = 774,100,828,900
  5. Step 5: Solve for x
    x = 774,100,828,900/422,441
  6. Step 6: Final answer
    x = 1,832,447.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.