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Finding the Third Proportional to 96,941 and 202,710

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Solution

The third proportional to 96,941 and 202,710 is: 423,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,941 : 202,710 = 202,710 : x
  2. Step 2: Convert to fraction form
    96,941/202,710 = 202,710/x
  3. Step 3: Cross multiply
    96,941x = 202,710 × 202,710
  4. Step 4: Simplify right side
    96,941x = 41,091,344,100
  5. Step 5: Solve for x
    x = 41,091,344,100/96,941
  6. Step 6: Final answer
    x = 423,879.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.