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Finding the Third Proportional to 79,486 and 120,039

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Solution

The third proportional to 79,486 and 120,039 is: 181,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,486 : 120,039 = 120,039 : x
  2. Step 2: Convert to fraction form
    79,486/120,039 = 120,039/x
  3. Step 3: Cross multiply
    79,486x = 120,039 × 120,039
  4. Step 4: Simplify right side
    79,486x = 14,409,361,521
  5. Step 5: Solve for x
    x = 14,409,361,521/79,486
  6. Step 6: Final answer
    x = 181,281.75

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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.