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Finding the Third Proportional to 455,954 and 684,172

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Solution

The third proportional to 455,954 and 684,172 is: 1,026,619.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,954 : 684,172 = 684,172 : x
  2. Step 2: Convert to fraction form
    455,954/684,172 = 684,172/x
  3. Step 3: Cross multiply
    455,954x = 684,172 × 684,172
  4. Step 4: Simplify right side
    455,954x = 468,091,325,584
  5. Step 5: Solve for x
    x = 468,091,325,584/455,954
  6. Step 6: Final answer
    x = 1,026,619.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.