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Finding the Third Proportional to 101,048,884 and 222,253,160

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Solution

The third proportional to 101,048,884 and 222,253,160 is: 488,837,334.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,048,884 : 222,253,160 = 222,253,160 : x
  2. Step 2: Convert to fraction form
    101,048,884/222,253,160 = 222,253,160/x
  3. Step 3: Cross multiply
    101,048,884x = 222,253,160 × 222,253,160
  4. Step 4: Simplify right side
    101,048,884x = 49,396,467,129,985,600
  5. Step 5: Solve for x
    x = 49,396,467,129,985,600/101,048,884
  6. Step 6: Final answer
    x = 488,837,334.71

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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.