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Finding the Third Proportional to 78,993.56 and 169,104.38

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Solution

The third proportional to 78,993.56 and 169,104.38 is: 362,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,993.56 : 169,104.38 = 169,104.38 : x
  2. Step 2: Convert to fraction form
    78,993.56/169,104.38 = 169,104.38/x
  3. Step 3: Cross multiply
    78,993.56x = 169,104.38 × 169,104.38
  4. Step 4: Simplify right side
    78,993.56x = 28,596,289,644.14
  5. Step 5: Solve for x
    x = 28,596,289,644.14/78,993.56
  6. Step 6: Final answer
    x = 362,007.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.