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Finding the Third Proportional to 290,399 and 622,817

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Solution

The third proportional to 290,399 and 622,817 is: 1,335,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,399 : 622,817 = 622,817 : x
  2. Step 2: Convert to fraction form
    290,399/622,817 = 622,817/x
  3. Step 3: Cross multiply
    290,399x = 622,817 × 622,817
  4. Step 4: Simplify right side
    290,399x = 387,901,015,489
  5. Step 5: Solve for x
    x = 387,901,015,489/290,399
  6. Step 6: Final answer
    x = 1,335,751.90

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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.