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Finding the Third Proportional to 78,378 and 184,991

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Solution

The third proportional to 78,378 and 184,991 is: 436,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378 : 184,991 = 184,991 : x
  2. Step 2: Convert to fraction form
    78,378/184,991 = 184,991/x
  3. Step 3: Cross multiply
    78,378x = 184,991 × 184,991
  4. Step 4: Simplify right side
    78,378x = 34,221,670,081
  5. Step 5: Solve for x
    x = 34,221,670,081/78,378
  6. Step 6: Final answer
    x = 436,623.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.