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Finding the Third Proportional to 420,668 and 918,436

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Solution

The third proportional to 420,668 and 918,436 is: 2,005,202.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,668 : 918,436 = 918,436 : x
  2. Step 2: Convert to fraction form
    420,668/918,436 = 918,436/x
  3. Step 3: Cross multiply
    420,668x = 918,436 × 918,436
  4. Step 4: Simplify right side
    420,668x = 843,524,686,096
  5. Step 5: Solve for x
    x = 843,524,686,096/420,668
  6. Step 6: Final answer
    x = 2,005,202.88

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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.