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Finding the Third Proportional to 120,830,790 and 178,981,161

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Solution

The third proportional to 120,830,790 and 178,981,161 is: 265,116,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,830,790 : 178,981,161 = 178,981,161 : x
  2. Step 2: Convert to fraction form
    120,830,790/178,981,161 = 178,981,161/x
  3. Step 3: Cross multiply
    120,830,790x = 178,981,161 × 178,981,161
  4. Step 4: Simplify right side
    120,830,790x = 32,034,255,992,907,920
  5. Step 5: Solve for x
    x = 32,034,255,992,907,920/120,830,790
  6. Step 6: Final answer
    x = 265,116,664.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.