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Finding the Third Proportional to 377,969 and 822,368

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Solution

The third proportional to 377,969 and 822,368 is: 1,789,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,969 : 822,368 = 822,368 : x
  2. Step 2: Convert to fraction form
    377,969/822,368 = 822,368/x
  3. Step 3: Cross multiply
    377,969x = 822,368 × 822,368
  4. Step 4: Simplify right side
    377,969x = 676,289,127,424
  5. Step 5: Solve for x
    x = 676,289,127,424/377,969
  6. Step 6: Final answer
    x = 1,789,271.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.