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Finding the Third Proportional to 111,135,997,962 and 238,405,201,940

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Solution

The third proportional to 111,135,997,962 and 238,405,201,940 is: 511,418,814,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,135,997,962 : 238,405,201,940 = 238,405,201,940 : x
  2. Step 2: Convert to fraction form
    111,135,997,962/238,405,201,940 = 238,405,201,940/x
  3. Step 3: Cross multiply
    111,135,997,962x = 238,405,201,940 × 238,405,201,940
  4. Step 4: Simplify right side
    111,135,997,962x = 56,837,040,312,052,183,203,840
  5. Step 5: Solve for x
    x = 56,837,040,312,052,183,203,840/111,135,997,962
  6. Step 6: Final answer
    x = 511,418,814,374.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.