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Finding the Third Proportional to 409,075 and 837,949

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Solution

The third proportional to 409,075 and 837,949 is: 1,716,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,075 : 837,949 = 837,949 : x
  2. Step 2: Convert to fraction form
    409,075/837,949 = 837,949/x
  3. Step 3: Cross multiply
    409,075x = 837,949 × 837,949
  4. Step 4: Simplify right side
    409,075x = 702,158,526,601
  5. Step 5: Solve for x
    x = 702,158,526,601/409,075
  6. Step 6: Final answer
    x = 1,716,454.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.