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Finding the Third Proportional to 184,880 and 378,520

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Solution

The third proportional to 184,880 and 378,520 is: 774,975.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,880 : 378,520 = 378,520 : x
  2. Step 2: Convert to fraction form
    184,880/378,520 = 378,520/x
  3. Step 3: Cross multiply
    184,880x = 378,520 × 378,520
  4. Step 4: Simplify right side
    184,880x = 143,277,390,400
  5. Step 5: Solve for x
    x = 143,277,390,400/184,880
  6. Step 6: Final answer
    x = 774,975.07

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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.