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Finding the Third Proportional to 149,364 and 328,176

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Solution

The third proportional to 149,364 and 328,176 is: 721,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,364 : 328,176 = 328,176 : x
  2. Step 2: Convert to fraction form
    149,364/328,176 = 328,176/x
  3. Step 3: Cross multiply
    149,364x = 328,176 × 328,176
  4. Step 4: Simplify right side
    149,364x = 107,699,486,976
  5. Step 5: Solve for x
    x = 107,699,486,976/149,364
  6. Step 6: Final answer
    x = 721,053.85

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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.