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Finding the Third Proportional to 206,505 and 453,690

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Solution

The third proportional to 206,505 and 453,690 is: 996,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,505 : 453,690 = 453,690 : x
  2. Step 2: Convert to fraction form
    206,505/453,690 = 453,690/x
  3. Step 3: Cross multiply
    206,505x = 453,690 × 453,690
  4. Step 4: Simplify right side
    206,505x = 205,834,616,100
  5. Step 5: Solve for x
    x = 205,834,616,100/206,505
  6. Step 6: Final answer
    x = 996,753.67

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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.