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Finding the Third Proportional to 224,735 and 481,453

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Solution

The third proportional to 224,735 and 481,453 is: 1,031,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,735 : 481,453 = 481,453 : x
  2. Step 2: Convert to fraction form
    224,735/481,453 = 481,453/x
  3. Step 3: Cross multiply
    224,735x = 481,453 × 481,453
  4. Step 4: Simplify right side
    224,735x = 231,796,991,209
  5. Step 5: Solve for x
    x = 231,796,991,209/224,735
  6. Step 6: Final answer
    x = 1,031,423.64

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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.