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Finding the Third Proportional to 98,879.06 and 204,764.63

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Solution

The third proportional to 98,879.06 and 204,764.63 is: 424,038.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,879.06 : 204,764.63 = 204,764.63 : x
  2. Step 2: Convert to fraction form
    98,879.06/204,764.63 = 204,764.63/x
  3. Step 3: Cross multiply
    98,879.06x = 204,764.63 × 204,764.63
  4. Step 4: Simplify right side
    98,879.06x = 41,928,551,651.39
  5. Step 5: Solve for x
    x = 41,928,551,651.39/98,879.06
  6. Step 6: Final answer
    x = 424,038.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.