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Finding the Third Proportional to 224,747 and 481,477

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Solution

The third proportional to 224,747 and 481,477 is: 1,031,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,747 : 481,477 = 481,477 : x
  2. Step 2: Convert to fraction form
    224,747/481,477 = 481,477/x
  3. Step 3: Cross multiply
    224,747x = 481,477 × 481,477
  4. Step 4: Simplify right side
    224,747x = 231,820,101,529
  5. Step 5: Solve for x
    x = 231,820,101,529/224,747
  6. Step 6: Final answer
    x = 1,031,471.39

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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.