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Finding the Third Proportional to 2,990,912 and 6,486,616

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Solution

The third proportional to 2,990,912 and 6,486,616 is: 14,068,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990,912 : 6,486,616 = 6,486,616 : x
  2. Step 2: Convert to fraction form
    2,990,912/6,486,616 = 6,486,616/x
  3. Step 3: Cross multiply
    2,990,912x = 6,486,616 × 6,486,616
  4. Step 4: Simplify right side
    2,990,912x = 42,076,187,131,456
  5. Step 5: Solve for x
    x = 42,076,187,131,456/2,990,912
  6. Step 6: Final answer
    x = 14,068,012.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.