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Finding the Third Proportional to 184,759 and 397,142

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Solution

The third proportional to 184,759 and 397,142 is: 853,662.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,759 : 397,142 = 397,142 : x
  2. Step 2: Convert to fraction form
    184,759/397,142 = 397,142/x
  3. Step 3: Cross multiply
    184,759x = 397,142 × 397,142
  4. Step 4: Simplify right side
    184,759x = 157,721,768,164
  5. Step 5: Solve for x
    x = 157,721,768,164/184,759
  6. Step 6: Final answer
    x = 853,662.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.