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Finding the Third Proportional to 306,717 and 674,346

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Solution

The third proportional to 306,717 and 674,346 is: 1,482,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,717 : 674,346 = 674,346 : x
  2. Step 2: Convert to fraction form
    306,717/674,346 = 674,346/x
  3. Step 3: Cross multiply
    306,717x = 674,346 × 674,346
  4. Step 4: Simplify right side
    306,717x = 454,742,527,716
  5. Step 5: Solve for x
    x = 454,742,527,716/306,717
  6. Step 6: Final answer
    x = 1,482,612.73

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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.