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Finding the Third Proportional to 218,550 and 480,456

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Solution

The third proportional to 218,550 and 480,456 is: 1,056,224.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,550 : 480,456 = 480,456 : x
  2. Step 2: Convert to fraction form
    218,550/480,456 = 480,456/x
  3. Step 3: Cross multiply
    218,550x = 480,456 × 480,456
  4. Step 4: Simplify right side
    218,550x = 230,837,967,936
  5. Step 5: Solve for x
    x = 230,837,967,936/218,550
  6. Step 6: Final answer
    x = 1,056,224.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.