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Finding the Third Proportional to 159,876 and 345,368

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Solution

The third proportional to 159,876 and 345,368 is: 746,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,876 : 345,368 = 345,368 : x
  2. Step 2: Convert to fraction form
    159,876/345,368 = 345,368/x
  3. Step 3: Cross multiply
    159,876x = 345,368 × 345,368
  4. Step 4: Simplify right side
    159,876x = 119,279,055,424
  5. Step 5: Solve for x
    x = 119,279,055,424/159,876
  6. Step 6: Final answer
    x = 746,072.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.