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Finding the Third Proportional to 207,508 and 422,624

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Solution

The third proportional to 207,508 and 422,624 is: 860,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,508 : 422,624 = 422,624 : x
  2. Step 2: Convert to fraction form
    207,508/422,624 = 422,624/x
  3. Step 3: Cross multiply
    207,508x = 422,624 × 422,624
  4. Step 4: Simplify right side
    207,508x = 178,611,045,376
  5. Step 5: Solve for x
    x = 178,611,045,376/207,508
  6. Step 6: Final answer
    x = 860,742.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.