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Finding the Third Proportional to 78,868.69 and 169,617.80

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Solution

The third proportional to 78,868.69 and 169,617.80 is: 364,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,868.69 : 169,617.80 = 169,617.80 : x
  2. Step 2: Convert to fraction form
    78,868.69/169,617.80 = 169,617.80/x
  3. Step 3: Cross multiply
    78,868.69x = 169,617.80 × 169,617.80
  4. Step 4: Simplify right side
    78,868.69x = 28,770,197,016.73
  5. Step 5: Solve for x
    x = 28,770,197,016.73/78,868.69
  6. Step 6: Final answer
    x = 364,786.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.