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Finding the Third Proportional to 149,372 and 328,192

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Solution

The third proportional to 149,372 and 328,192 is: 721,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,372 : 328,192 = 328,192 : x
  2. Step 2: Convert to fraction form
    149,372/328,192 = 328,192/x
  3. Step 3: Cross multiply
    149,372x = 328,192 × 328,192
  4. Step 4: Simplify right side
    149,372x = 107,709,988,864
  5. Step 5: Solve for x
    x = 107,709,988,864/149,372
  6. Step 6: Final answer
    x = 721,085.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.