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Finding the Third Proportional to 605,477 and 822,679

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Solution

The third proportional to 605,477 and 822,679 is: 1,117,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,477 : 822,679 = 822,679 : x
  2. Step 2: Convert to fraction form
    605,477/822,679 = 822,679/x
  3. Step 3: Cross multiply
    605,477x = 822,679 × 822,679
  4. Step 4: Simplify right side
    605,477x = 676,800,737,041
  5. Step 5: Solve for x
    x = 676,800,737,041/605,477
  6. Step 6: Final answer
    x = 1,117,797.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.