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Finding the Third Proportional to 122,129,256 and 263,389,848

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Solution

The third proportional to 122,129,256 and 263,389,848 is: 568,039,258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,129,256 : 263,389,848 = 263,389,848 : x
  2. Step 2: Convert to fraction form
    122,129,256/263,389,848 = 263,389,848/x
  3. Step 3: Cross multiply
    122,129,256x = 263,389,848 × 263,389,848
  4. Step 4: Simplify right side
    122,129,256x = 69,374,212,029,463,104
  5. Step 5: Solve for x
    x = 69,374,212,029,463,104/122,129,256
  6. Step 6: Final answer
    x = 568,039,258.58

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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.