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Finding the Third Proportional to 223,378 and 481,744

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Solution

The third proportional to 223,378 and 481,744 is: 1,038,944.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,378 : 481,744 = 481,744 : x
  2. Step 2: Convert to fraction form
    223,378/481,744 = 481,744/x
  3. Step 3: Cross multiply
    223,378x = 481,744 × 481,744
  4. Step 4: Simplify right side
    223,378x = 232,077,281,536
  5. Step 5: Solve for x
    x = 232,077,281,536/223,378
  6. Step 6: Final answer
    x = 1,038,944.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.