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Finding the Third Proportional to 743,785,707 and 1,621,494,690

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Solution

The third proportional to 743,785,707 and 1,621,494,690 is: 3,534,949,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,785,707 : 1,621,494,690 = 1,621,494,690 : x
  2. Step 2: Convert to fraction form
    743,785,707/1,621,494,690 = 1,621,494,690/x
  3. Step 3: Cross multiply
    743,785,707x = 1,621,494,690 × 1,621,494,690
  4. Step 4: Simplify right side
    743,785,707x = 2,629,245,029,698,195,968
  5. Step 5: Solve for x
    x = 2,629,245,029,698,195,968/743,785,707
  6. Step 6: Final answer
    x = 3,534,949,656.81

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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.