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Finding the Third Proportional to 77,969.25 and 120,679.88

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Solution

The third proportional to 77,969.25 and 120,679.88 is: 186,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,969.25 : 120,679.88 = 120,679.88 : x
  2. Step 2: Convert to fraction form
    77,969.25/120,679.88 = 120,679.88/x
  3. Step 3: Cross multiply
    77,969.25x = 120,679.88 × 120,679.88
  4. Step 4: Simplify right side
    77,969.25x = 14,563,632,230.02
  5. Step 5: Solve for x
    x = 14,563,632,230.02/77,969.25
  6. Step 6: Final answer
    x = 186,786.87

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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.