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Finding the Third Proportional to 297,800 and 628,720

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Solution

The third proportional to 297,800 and 628,720 is: 1,327,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,800 : 628,720 = 628,720 : x
  2. Step 2: Convert to fraction form
    297,800/628,720 = 628,720/x
  3. Step 3: Cross multiply
    297,800x = 628,720 × 628,720
  4. Step 4: Simplify right side
    297,800x = 395,288,838,400
  5. Step 5: Solve for x
    x = 395,288,838,400/297,800
  6. Step 6: Final answer
    x = 1,327,363.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.