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Finding the Third Proportional to 78,002 and 120,999

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Solution

The third proportional to 78,002 and 120,999 is: 187,697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002 : 120,999 = 120,999 : x
  2. Step 2: Convert to fraction form
    78,002/120,999 = 120,999/x
  3. Step 3: Cross multiply
    78,002x = 120,999 × 120,999
  4. Step 4: Simplify right side
    78,002x = 14,640,758,001
  5. Step 5: Solve for x
    x = 14,640,758,001/78,002
  6. Step 6: Final answer
    x = 187,697.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.