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Finding the Third Proportional to 306,939 and 674,781

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Solution

The third proportional to 306,939 and 674,781 is: 1,483,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,939 : 674,781 = 674,781 : x
  2. Step 2: Convert to fraction form
    306,939/674,781 = 674,781/x
  3. Step 3: Cross multiply
    306,939x = 674,781 × 674,781
  4. Step 4: Simplify right side
    306,939x = 455,329,397,961
  5. Step 5: Solve for x
    x = 455,329,397,961/306,939
  6. Step 6: Final answer
    x = 1,483,452.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.