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Finding the Third Proportional to 224,828 and 481,708

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Solution

The third proportional to 224,828 and 481,708 is: 1,032,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,828 : 481,708 = 481,708 : x
  2. Step 2: Convert to fraction form
    224,828/481,708 = 481,708/x
  3. Step 3: Cross multiply
    224,828x = 481,708 × 481,708
  4. Step 4: Simplify right side
    224,828x = 232,042,597,264
  5. Step 5: Solve for x
    x = 232,042,597,264/224,828
  6. Step 6: Final answer
    x = 1,032,089.41

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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.