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Finding the Third Proportional to 421,224 and 908,874

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Solution

The third proportional to 421,224 and 908,874 is: 1,961,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,224 : 908,874 = 908,874 : x
  2. Step 2: Convert to fraction form
    421,224/908,874 = 908,874/x
  3. Step 3: Cross multiply
    421,224x = 908,874 × 908,874
  4. Step 4: Simplify right side
    421,224x = 826,051,947,876
  5. Step 5: Solve for x
    x = 826,051,947,876/421,224
  6. Step 6: Final answer
    x = 1,961,075.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.