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Finding the Third Proportional to 146,190,996 and 325,060,956

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Solution

The third proportional to 146,190,996 and 325,060,956 is: 722,784,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,190,996 : 325,060,956 = 325,060,956 : x
  2. Step 2: Convert to fraction form
    146,190,996/325,060,956 = 325,060,956/x
  3. Step 3: Cross multiply
    146,190,996x = 325,060,956 × 325,060,956
  4. Step 4: Simplify right side
    146,190,996x = 105,664,625,115,633,936
  5. Step 5: Solve for x
    x = 105,664,625,115,633,936/146,190,996
  6. Step 6: Final answer
    x = 722,784,767.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.