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Finding the Third Proportional to 78,939 and 120,758

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Solution

The third proportional to 78,939 and 120,758 is: 184,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,939 : 120,758 = 120,758 : x
  2. Step 2: Convert to fraction form
    78,939/120,758 = 120,758/x
  3. Step 3: Cross multiply
    78,939x = 120,758 × 120,758
  4. Step 4: Simplify right side
    78,939x = 14,582,494,564
  5. Step 5: Solve for x
    x = 14,582,494,564/78,939
  6. Step 6: Final answer
    x = 184,731.18

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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.