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Finding the Third Proportional to 421,400 and 918,544

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Solution

The third proportional to 421,400 and 918,544 is: 2,002,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,400 : 918,544 = 918,544 : x
  2. Step 2: Convert to fraction form
    421,400/918,544 = 918,544/x
  3. Step 3: Cross multiply
    421,400x = 918,544 × 918,544
  4. Step 4: Simplify right side
    421,400x = 843,723,079,936
  5. Step 5: Solve for x
    x = 843,723,079,936/421,400
  6. Step 6: Final answer
    x = 2,002,190.51

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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.