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Finding the Third Proportional to 208,048 and 389,444

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Solution

The third proportional to 208,048 and 389,444 is: 728,998.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,048 : 389,444 = 389,444 : x
  2. Step 2: Convert to fraction form
    208,048/389,444 = 389,444/x
  3. Step 3: Cross multiply
    208,048x = 389,444 × 389,444
  4. Step 4: Simplify right side
    208,048x = 151,666,629,136
  5. Step 5: Solve for x
    x = 151,666,629,136/208,048
  6. Step 6: Final answer
    x = 728,998.26

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.