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Finding the Third Proportional to 269,144 and 398,504

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Solution

The third proportional to 269,144 and 398,504 is: 590,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,144 : 398,504 = 398,504 : x
  2. Step 2: Convert to fraction form
    269,144/398,504 = 398,504/x
  3. Step 3: Cross multiply
    269,144x = 398,504 × 398,504
  4. Step 4: Simplify right side
    269,144x = 158,805,438,016
  5. Step 5: Solve for x
    x = 158,805,438,016/269,144
  6. Step 6: Final answer
    x = 590,038.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.