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Finding the Third Proportional to 605,200 and 879,420

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Solution

The third proportional to 605,200 and 879,420 is: 1,277,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,200 : 879,420 = 879,420 : x
  2. Step 2: Convert to fraction form
    605,200/879,420 = 879,420/x
  3. Step 3: Cross multiply
    605,200x = 879,420 × 879,420
  4. Step 4: Simplify right side
    605,200x = 773,379,536,400
  5. Step 5: Solve for x
    x = 773,379,536,400/605,200
  6. Step 6: Final answer
    x = 1,277,890.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.