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Finding the Third Proportional to 297,220 and 638,910

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Solution

The third proportional to 297,220 and 638,910 is: 1,373,413.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,220 : 638,910 = 638,910 : x
  2. Step 2: Convert to fraction form
    297,220/638,910 = 638,910/x
  3. Step 3: Cross multiply
    297,220x = 638,910 × 638,910
  4. Step 4: Simplify right side
    297,220x = 408,205,988,100
  5. Step 5: Solve for x
    x = 408,205,988,100/297,220
  6. Step 6: Final answer
    x = 1,373,413.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.