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Finding the Third Proportional to 78,156 and 184,311

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Solution

The third proportional to 78,156 and 184,311 is: 434,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156 : 184,311 = 184,311 : x
  2. Step 2: Convert to fraction form
    78,156/184,311 = 184,311/x
  3. Step 3: Cross multiply
    78,156x = 184,311 × 184,311
  4. Step 4: Simplify right side
    78,156x = 33,970,544,721
  5. Step 5: Solve for x
    x = 33,970,544,721/78,156
  6. Step 6: Final answer
    x = 434,650.50

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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.