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Finding the Third Proportional to 78,620 and 120,480

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Solution

The third proportional to 78,620 and 120,480 is: 184,627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,620 : 120,480 = 120,480 : x
  2. Step 2: Convert to fraction form
    78,620/120,480 = 120,480/x
  3. Step 3: Cross multiply
    78,620x = 120,480 × 120,480
  4. Step 4: Simplify right side
    78,620x = 14,515,430,400
  5. Step 5: Solve for x
    x = 14,515,430,400/78,620
  6. Step 6: Final answer
    x = 184,627.71

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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.