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Finding the Third Proportional to 290,389 and 622,815

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Solution

The third proportional to 290,389 and 622,815 is: 1,335,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,389 : 622,815 = 622,815 : x
  2. Step 2: Convert to fraction form
    290,389/622,815 = 622,815/x
  3. Step 3: Cross multiply
    290,389x = 622,815 × 622,815
  4. Step 4: Simplify right side
    290,389x = 387,898,524,225
  5. Step 5: Solve for x
    x = 387,898,524,225/290,389
  6. Step 6: Final answer
    x = 1,335,789.32

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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.