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Finding the Third Proportional to 8,466,120 and 12,777,912

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Solution

The third proportional to 8,466,120 and 12,777,912 is: 19,285,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466,120 : 12,777,912 = 12,777,912 : x
  2. Step 2: Convert to fraction form
    8,466,120/12,777,912 = 12,777,912/x
  3. Step 3: Cross multiply
    8,466,120x = 12,777,912 × 12,777,912
  4. Step 4: Simplify right side
    8,466,120x = 163,275,035,079,744
  5. Step 5: Solve for x
    x = 163,275,035,079,744/8,466,120
  6. Step 6: Final answer
    x = 19,285,698.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.