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Finding the Third Proportional to 306,093 and 649,239

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Solution

The third proportional to 306,093 and 649,239 is: 1,377,069.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,093 : 649,239 = 649,239 : x
  2. Step 2: Convert to fraction form
    306,093/649,239 = 649,239/x
  3. Step 3: Cross multiply
    306,093x = 649,239 × 649,239
  4. Step 4: Simplify right side
    306,093x = 421,511,279,121
  5. Step 5: Solve for x
    x = 421,511,279,121/306,093
  6. Step 6: Final answer
    x = 1,377,069.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.