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Finding the Third Proportional to 154,322,780,046 and 332,291,850,240

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Solution

The third proportional to 154,322,780,046 and 332,291,850,240 is: 715,499,511,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,322,780,046 : 332,291,850,240 = 332,291,850,240 : x
  2. Step 2: Convert to fraction form
    154,322,780,046/332,291,850,240 = 332,291,850,240/x
  3. Step 3: Cross multiply
    154,322,780,046x = 332,291,850,240 × 332,291,850,240
  4. Step 4: Simplify right side
    154,322,780,046x = 110,417,873,735,922,588,057,600
  5. Step 5: Solve for x
    x = 110,417,873,735,922,588,057,600/154,322,780,046
  6. Step 6: Final answer
    x = 715,499,511,497.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.