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Finding the Third Proportional to 284,558 and 619,228

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Solution

The third proportional to 284,558 and 619,228 is: 1,347,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,558 : 619,228 = 619,228 : x
  2. Step 2: Convert to fraction form
    284,558/619,228 = 619,228/x
  3. Step 3: Cross multiply
    284,558x = 619,228 × 619,228
  4. Step 4: Simplify right side
    284,558x = 383,443,315,984
  5. Step 5: Solve for x
    x = 383,443,315,984/284,558
  6. Step 6: Final answer
    x = 1,347,504.96

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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.