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Finding the Third Proportional to 322,759,545,264 and 706,320,192,463

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Solution

The third proportional to 322,759,545,264 and 706,320,192,463 is: 1,545,696,236,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,759,545,264 : 706,320,192,463 = 706,320,192,463 : x
  2. Step 2: Convert to fraction form
    322,759,545,264/706,320,192,463 = 706,320,192,463/x
  3. Step 3: Cross multiply
    322,759,545,264x = 706,320,192,463 × 706,320,192,463
  4. Step 4: Simplify right side
    322,759,545,264x = 498,888,214,280,969,377,546,240
  5. Step 5: Solve for x
    x = 498,888,214,280,969,377,546,240/322,759,545,264
  6. Step 6: Final answer
    x = 1,545,696,236,103.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.