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Finding the Third Proportional to 232,100 and 313,158

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Solution

The third proportional to 232,100 and 313,158 is: 422,524.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,100 : 313,158 = 313,158 : x
  2. Step 2: Convert to fraction form
    232,100/313,158 = 313,158/x
  3. Step 3: Cross multiply
    232,100x = 313,158 × 313,158
  4. Step 4: Simplify right side
    232,100x = 98,067,932,964
  5. Step 5: Solve for x
    x = 98,067,932,964/232,100
  6. Step 6: Final answer
    x = 422,524.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.