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Finding the Third Proportional to 269,844 and 389,844

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Solution

The third proportional to 269,844 and 389,844 is: 563,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,844 : 389,844 = 389,844 : x
  2. Step 2: Convert to fraction form
    269,844/389,844 = 389,844/x
  3. Step 3: Cross multiply
    269,844x = 389,844 × 389,844
  4. Step 4: Simplify right side
    269,844x = 151,978,344,336
  5. Step 5: Solve for x
    x = 151,978,344,336/269,844
  6. Step 6: Final answer
    x = 563,208.17

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.