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Finding the Third Proportional to 150,300,192 and 320,283,384

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Solution

The third proportional to 150,300,192 and 320,283,384 is: 682,510,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,300,192 : 320,283,384 = 320,283,384 : x
  2. Step 2: Convert to fraction form
    150,300,192/320,283,384 = 320,283,384/x
  3. Step 3: Cross multiply
    150,300,192x = 320,283,384 × 320,283,384
  4. Step 4: Simplify right side
    150,300,192x = 102,581,446,066,491,456
  5. Step 5: Solve for x
    x = 102,581,446,066,491,456/150,300,192
  6. Step 6: Final answer
    x = 682,510,412.67

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.