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Finding the Third Proportional to 72,879.75 and 175,415.63

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Solution

The third proportional to 72,879.75 and 175,415.63 is: 422,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,879.75 : 175,415.63 = 175,415.63 : x
  2. Step 2: Convert to fraction form
    72,879.75/175,415.63 = 175,415.63/x
  3. Step 3: Cross multiply
    72,879.75x = 175,415.63 × 175,415.63
  4. Step 4: Simplify right side
    72,879.75x = 30,770,641,494.14
  5. Step 5: Solve for x
    x = 30,770,641,494.14/72,879.75
  6. Step 6: Final answer
    x = 422,211.13

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.