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Finding the Third Proportional to 223,300 and 481,584

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Solution

The third proportional to 223,300 and 481,584 is: 1,038,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,300 : 481,584 = 481,584 : x
  2. Step 2: Convert to fraction form
    223,300/481,584 = 481,584/x
  3. Step 3: Cross multiply
    223,300x = 481,584 × 481,584
  4. Step 4: Simplify right side
    223,300x = 231,923,149,056
  5. Step 5: Solve for x
    x = 231,923,149,056/223,300
  6. Step 6: Final answer
    x = 1,038,616.88

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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.