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Finding the Third Proportional to 184,858 and 378,457

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Solution

The third proportional to 184,858 and 378,457 is: 774,809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,858 : 378,457 = 378,457 : x
  2. Step 2: Convert to fraction form
    184,858/378,457 = 378,457/x
  3. Step 3: Cross multiply
    184,858x = 378,457 × 378,457
  4. Step 4: Simplify right side
    184,858x = 143,229,700,849
  5. Step 5: Solve for x
    x = 143,229,700,849/184,858
  6. Step 6: Final answer
    x = 774,809.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.