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Finding the Third Proportional to 224,880 and 481,638

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Solution

The third proportional to 224,880 and 481,638 is: 1,031,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,880 : 481,638 = 481,638 : x
  2. Step 2: Convert to fraction form
    224,880/481,638 = 481,638/x
  3. Step 3: Cross multiply
    224,880x = 481,638 × 481,638
  4. Step 4: Simplify right side
    224,880x = 231,975,163,044
  5. Step 5: Solve for x
    x = 231,975,163,044/224,880
  6. Step 6: Final answer
    x = 1,031,550.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.