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Finding the Third Proportional to 254,490,214,116 and 553,661,313,783

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Solution

The third proportional to 254,490,214,116 and 553,661,313,783 is: 1,204,529,028,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,490,214,116 : 553,661,313,783 = 553,661,313,783 : x
  2. Step 2: Convert to fraction form
    254,490,214,116/553,661,313,783 = 553,661,313,783/x
  3. Step 3: Cross multiply
    254,490,214,116x = 553,661,313,783 × 553,661,313,783
  4. Step 4: Simplify right side
    254,490,214,116x = 306,540,850,379,917,619,101,696
  5. Step 5: Solve for x
    x = 306,540,850,379,917,619,101,696/254,490,214,116
  6. Step 6: Final answer
    x = 1,204,529,028,531.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.