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Finding the Third Proportional to 81,397,716,256 and 122,870,440,240

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Solution

The third proportional to 81,397,716,256 and 122,870,440,240 is: 185,473,816,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,397,716,256 : 122,870,440,240 = 122,870,440,240 : x
  2. Step 2: Convert to fraction form
    81,397,716,256/122,870,440,240 = 122,870,440,240/x
  3. Step 3: Cross multiply
    81,397,716,256x = 122,870,440,240 × 122,870,440,240
  4. Step 4: Simplify right side
    81,397,716,256x = 15,097,145,084,771,410,378,752
  5. Step 5: Solve for x
    x = 15,097,145,084,771,410,378,752/81,397,716,256
  6. Step 6: Final answer
    x = 185,473,816,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.