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Finding the Third Proportional to 789,384 and 1,728,999

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Solution

The third proportional to 789,384 and 1,728,999 is: 3,787,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,384 : 1,728,999 = 1,728,999 : x
  2. Step 2: Convert to fraction form
    789,384/1,728,999 = 1,728,999/x
  3. Step 3: Cross multiply
    789,384x = 1,728,999 × 1,728,999
  4. Step 4: Simplify right side
    789,384x = 2,989,437,542,001
  5. Step 5: Solve for x
    x = 2,989,437,542,001/789,384
  6. Step 6: Final answer
    x = 3,787,051.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.