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Finding the Third Proportional to 289,790 and 622,430

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Solution

The third proportional to 289,790 and 622,430 is: 1,336,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,790 : 622,430 = 622,430 : x
  2. Step 2: Convert to fraction form
    289,790/622,430 = 622,430/x
  3. Step 3: Cross multiply
    289,790x = 622,430 × 622,430
  4. Step 4: Simplify right side
    289,790x = 387,419,104,900
  5. Step 5: Solve for x
    x = 387,419,104,900/289,790
  6. Step 6: Final answer
    x = 1,336,896.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.