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Finding the Third Proportional to 78,936 and 120,753

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Solution

The third proportional to 78,936 and 120,753 is: 184,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,936 : 120,753 = 120,753 : x
  2. Step 2: Convert to fraction form
    78,936/120,753 = 120,753/x
  3. Step 3: Cross multiply
    78,936x = 120,753 × 120,753
  4. Step 4: Simplify right side
    78,936x = 14,581,287,009
  5. Step 5: Solve for x
    x = 14,581,287,009/78,936
  6. Step 6: Final answer
    x = 184,722.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.