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Finding the Third Proportional to 207,459 and 422,534

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Solution

The third proportional to 207,459 and 422,534 is: 860,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,459 : 422,534 = 422,534 : x
  2. Step 2: Convert to fraction form
    207,459/422,534 = 422,534/x
  3. Step 3: Cross multiply
    207,459x = 422,534 × 422,534
  4. Step 4: Simplify right side
    207,459x = 178,534,981,156
  5. Step 5: Solve for x
    x = 178,534,981,156/207,459
  6. Step 6: Final answer
    x = 860,579.59

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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.