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Finding the Third Proportional to 100,448 and 220,984

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Solution

The third proportional to 100,448 and 220,984 is: 486,161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448 : 220,984 = 220,984 : x
  2. Step 2: Convert to fraction form
    100,448/220,984 = 220,984/x
  3. Step 3: Cross multiply
    100,448x = 220,984 × 220,984
  4. Step 4: Simplify right side
    100,448x = 48,833,928,256
  5. Step 5: Solve for x
    x = 48,833,928,256/100,448
  6. Step 6: Final answer
    x = 486,161.28

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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.