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Finding the Third Proportional to 1,352,116 and 3,144,096

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Solution

The third proportional to 1,352,116 and 3,144,096 is: 7,311,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352,116 : 3,144,096 = 3,144,096 : x
  2. Step 2: Convert to fraction form
    1,352,116/3,144,096 = 3,144,096/x
  3. Step 3: Cross multiply
    1,352,116x = 3,144,096 × 3,144,096
  4. Step 4: Simplify right side
    1,352,116x = 9,885,339,657,216
  5. Step 5: Solve for x
    x = 9,885,339,657,216/1,352,116
  6. Step 6: Final answer
    x = 7,311,014.48

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.