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Finding the Third Proportional to 79,991 and 120,492

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Solution

The third proportional to 79,991 and 120,492 is: 181,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,991 : 120,492 = 120,492 : x
  2. Step 2: Convert to fraction form
    79,991/120,492 = 120,492/x
  3. Step 3: Cross multiply
    79,991x = 120,492 × 120,492
  4. Step 4: Simplify right side
    79,991x = 14,518,322,064
  5. Step 5: Solve for x
    x = 14,518,322,064/79,991
  6. Step 6: Final answer
    x = 181,499.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.