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Finding the Third Proportional to 422,388 and 919,136

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Solution

The third proportional to 422,388 and 919,136 is: 2,000,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,388 : 919,136 = 919,136 : x
  2. Step 2: Convert to fraction form
    422,388/919,136 = 919,136/x
  3. Step 3: Cross multiply
    422,388x = 919,136 × 919,136
  4. Step 4: Simplify right side
    422,388x = 844,810,986,496
  5. Step 5: Solve for x
    x = 844,810,986,496/422,388
  6. Step 6: Final answer
    x = 2,000,082.83

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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.