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Finding the Third Proportional to 290,738 and 622,948

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Solution

The third proportional to 290,738 and 622,948 is: 1,334,755.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,738 : 622,948 = 622,948 : x
  2. Step 2: Convert to fraction form
    290,738/622,948 = 622,948/x
  3. Step 3: Cross multiply
    290,738x = 622,948 × 622,948
  4. Step 4: Simplify right side
    290,738x = 388,064,210,704
  5. Step 5: Solve for x
    x = 388,064,210,704/290,738
  6. Step 6: Final answer
    x = 1,334,755.73

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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.