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Finding the Third Proportional to 735,539,880 and 1,600,219,104

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Solution

The third proportional to 735,539,880 and 1,600,219,104 is: 3,481,389,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,539,880 : 1,600,219,104 = 1,600,219,104 : x
  2. Step 2: Convert to fraction form
    735,539,880/1,600,219,104 = 1,600,219,104/x
  3. Step 3: Cross multiply
    735,539,880x = 1,600,219,104 × 1,600,219,104
  4. Step 4: Simplify right side
    735,539,880x = 2,560,701,180,806,562,816
  5. Step 5: Solve for x
    x = 2,560,701,180,806,562,816/735,539,880
  6. Step 6: Final answer
    x = 3,481,389,997.24

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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.