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Finding the Third Proportional to 8,112,746 and 12,143,847

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Solution

The third proportional to 8,112,746 and 12,143,847 is: 18,177,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112,746 : 12,143,847 = 12,143,847 : x
  2. Step 2: Convert to fraction form
    8,112,746/12,143,847 = 12,143,847/x
  3. Step 3: Cross multiply
    8,112,746x = 12,143,847 × 12,143,847
  4. Step 4: Simplify right side
    8,112,746x = 147,473,019,959,409
  5. Step 5: Solve for x
    x = 147,473,019,959,409/8,112,746
  6. Step 6: Final answer
    x = 18,177,941.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.