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Finding the Third Proportional to 161,532 and 331,152

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Solution

The third proportional to 161,532 and 331,152 is: 678,884.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,532 : 331,152 = 331,152 : x
  2. Step 2: Convert to fraction form
    161,532/331,152 = 331,152/x
  3. Step 3: Cross multiply
    161,532x = 331,152 × 331,152
  4. Step 4: Simplify right side
    161,532x = 109,661,647,104
  5. Step 5: Solve for x
    x = 109,661,647,104/161,532
  6. Step 6: Final answer
    x = 678,884.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.