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Finding the Third Proportional to 389,296 and 839,360

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Solution

The third proportional to 389,296 and 839,360 is: 1,809,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,296 : 839,360 = 839,360 : x
  2. Step 2: Convert to fraction form
    389,296/839,360 = 839,360/x
  3. Step 3: Cross multiply
    389,296x = 839,360 × 839,360
  4. Step 4: Simplify right side
    389,296x = 704,525,209,600
  5. Step 5: Solve for x
    x = 704,525,209,600/389,296
  6. Step 6: Final answer
    x = 1,809,741.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.