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Finding the Third Proportional to 273,708 and 422,118

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Solution

The third proportional to 273,708 and 422,118 is: 650,998.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,708 : 422,118 = 422,118 : x
  2. Step 2: Convert to fraction form
    273,708/422,118 = 422,118/x
  3. Step 3: Cross multiply
    273,708x = 422,118 × 422,118
  4. Step 4: Simplify right side
    273,708x = 178,183,605,924
  5. Step 5: Solve for x
    x = 178,183,605,924/273,708
  6. Step 6: Final answer
    x = 650,998.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.