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Finding the Third Proportional to 290,495 and 622,462

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Solution

The third proportional to 290,495 and 622,462 is: 1,333,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,495 : 622,462 = 622,462 : x
  2. Step 2: Convert to fraction form
    290,495/622,462 = 622,462/x
  3. Step 3: Cross multiply
    290,495x = 622,462 × 622,462
  4. Step 4: Simplify right side
    290,495x = 387,458,941,444
  5. Step 5: Solve for x
    x = 387,458,941,444/290,495
  6. Step 6: Final answer
    x = 1,333,788.68

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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.