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Finding the Third Proportional to 51,102,093,161 and 111,202,631,840

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Solution

The third proportional to 51,102,093,161 and 111,202,631,840 is: 241,986,669,492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102,093,161 : 111,202,631,840 = 111,202,631,840 : x
  2. Step 2: Convert to fraction form
    51,102,093,161/111,202,631,840 = 111,202,631,840/x
  3. Step 3: Cross multiply
    51,102,093,161x = 111,202,631,840 × 111,202,631,840
  4. Step 4: Simplify right side
    51,102,093,161x = 12,366,025,328,142,581,760,000
  5. Step 5: Solve for x
    x = 12,366,025,328,142,581,760,000/51,102,093,161
  6. Step 6: Final answer
    x = 241,986,669,492.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.