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Finding the Third Proportional to 207,454 and 422,515

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Solution

The third proportional to 207,454 and 422,515 is: 860,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,454 : 422,515 = 422,515 : x
  2. Step 2: Convert to fraction form
    207,454/422,515 = 422,515/x
  3. Step 3: Cross multiply
    207,454x = 422,515 × 422,515
  4. Step 4: Simplify right side
    207,454x = 178,518,925,225
  5. Step 5: Solve for x
    x = 178,518,925,225/207,454
  6. Step 6: Final answer
    x = 860,522.94

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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.