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Finding the Third Proportional to 420,075 and 638,874

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Solution

The third proportional to 420,075 and 638,874 is: 971,635.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,075 : 638,874 = 638,874 : x
  2. Step 2: Convert to fraction form
    420,075/638,874 = 638,874/x
  3. Step 3: Cross multiply
    420,075x = 638,874 × 638,874
  4. Step 4: Simplify right side
    420,075x = 408,159,987,876
  5. Step 5: Solve for x
    x = 408,159,987,876/420,075
  6. Step 6: Final answer
    x = 971,635.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.