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Finding the Third Proportional to 99,768 and 218,256

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Solution

The third proportional to 99,768 and 218,256 is: 477,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,768 : 218,256 = 218,256 : x
  2. Step 2: Convert to fraction form
    99,768/218,256 = 218,256/x
  3. Step 3: Cross multiply
    99,768x = 218,256 × 218,256
  4. Step 4: Simplify right side
    99,768x = 47,635,681,536
  5. Step 5: Solve for x
    x = 47,635,681,536/99,768
  6. Step 6: Final answer
    x = 477,464.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.