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Finding the Third Proportional to 290,180 and 606,600

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Solution

The third proportional to 290,180 and 606,600 is: 1,268,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,180 : 606,600 = 606,600 : x
  2. Step 2: Convert to fraction form
    290,180/606,600 = 606,600/x
  3. Step 3: Cross multiply
    290,180x = 606,600 × 606,600
  4. Step 4: Simplify right side
    290,180x = 367,963,560,000
  5. Step 5: Solve for x
    x = 367,963,560,000/290,180
  6. Step 6: Final answer
    x = 1,268,052.79

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.