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Finding the Third Proportional to 290,742 and 622,956

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Solution

The third proportional to 290,742 and 622,956 is: 1,334,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,742 : 622,956 = 622,956 : x
  2. Step 2: Convert to fraction form
    290,742/622,956 = 622,956/x
  3. Step 3: Cross multiply
    290,742x = 622,956 × 622,956
  4. Step 4: Simplify right side
    290,742x = 388,074,177,936
  5. Step 5: Solve for x
    x = 388,074,177,936/290,742
  6. Step 6: Final answer
    x = 1,334,771.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.