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Finding the Third Proportional to 418,753 and 920,450

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Solution

The third proportional to 418,753 and 920,450 is: 2,023,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,753 : 920,450 = 920,450 : x
  2. Step 2: Convert to fraction form
    418,753/920,450 = 920,450/x
  3. Step 3: Cross multiply
    418,753x = 920,450 × 920,450
  4. Step 4: Simplify right side
    418,753x = 847,228,202,500
  5. Step 5: Solve for x
    x = 847,228,202,500/418,753
  6. Step 6: Final answer
    x = 2,023,217.03

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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.