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Finding the Third Proportional to 306,941 and 674,785

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Solution

The third proportional to 306,941 and 674,785 is: 1,483,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,941 : 674,785 = 674,785 : x
  2. Step 2: Convert to fraction form
    306,941/674,785 = 674,785/x
  3. Step 3: Cross multiply
    306,941x = 674,785 × 674,785
  4. Step 4: Simplify right side
    306,941x = 455,334,796,225
  5. Step 5: Solve for x
    x = 455,334,796,225/306,941
  6. Step 6: Final answer
    x = 1,483,460.33

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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.