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Finding the Third Proportional to 161,546 and 331,153

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Solution

The third proportional to 161,546 and 331,153 is: 678,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,546 : 331,153 = 331,153 : x
  2. Step 2: Convert to fraction form
    161,546/331,153 = 331,153/x
  3. Step 3: Cross multiply
    161,546x = 331,153 × 331,153
  4. Step 4: Simplify right side
    161,546x = 109,662,309,409
  5. Step 5: Solve for x
    x = 109,662,309,409/161,546
  6. Step 6: Final answer
    x = 678,830.24

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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.