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Finding the Third Proportional to 421,296 and 877,578

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Solution

The third proportional to 421,296 and 877,578 is: 1,828,033.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,296 : 877,578 = 877,578 : x
  2. Step 2: Convert to fraction form
    421,296/877,578 = 877,578/x
  3. Step 3: Cross multiply
    421,296x = 877,578 × 877,578
  4. Step 4: Simplify right side
    421,296x = 770,143,146,084
  5. Step 5: Solve for x
    x = 770,143,146,084/421,296
  6. Step 6: Final answer
    x = 1,828,033.37

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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.