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Finding the Third Proportional to 306,719 and 674,350

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Solution

The third proportional to 306,719 and 674,350 is: 1,482,620.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,719 : 674,350 = 674,350 : x
  2. Step 2: Convert to fraction form
    306,719/674,350 = 674,350/x
  3. Step 3: Cross multiply
    306,719x = 674,350 × 674,350
  4. Step 4: Simplify right side
    306,719x = 454,747,922,500
  5. Step 5: Solve for x
    x = 454,747,922,500/306,719
  6. Step 6: Final answer
    x = 1,482,620.65

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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.