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Finding the Third Proportional to 160,876 and 343,112

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Solution

The third proportional to 160,876 and 343,112 is: 731,780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,876 : 343,112 = 343,112 : x
  2. Step 2: Convert to fraction form
    160,876/343,112 = 343,112/x
  3. Step 3: Cross multiply
    160,876x = 343,112 × 343,112
  4. Step 4: Simplify right side
    160,876x = 117,725,844,544
  5. Step 5: Solve for x
    x = 117,725,844,544/160,876
  6. Step 6: Final answer
    x = 731,780.03

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Why These Related Problems?

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