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Finding the Third Proportional to 290,412 and 622,845

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Solution

The third proportional to 290,412 and 622,845 is: 1,335,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,412 : 622,845 = 622,845 : x
  2. Step 2: Convert to fraction form
    290,412/622,845 = 622,845/x
  3. Step 3: Cross multiply
    290,412x = 622,845 × 622,845
  4. Step 4: Simplify right side
    290,412x = 387,935,894,025
  5. Step 5: Solve for x
    x = 387,935,894,025/290,412
  6. Step 6: Final answer
    x = 1,335,812.20

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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.