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Finding the Third Proportional to 820,220 and 1,801,752

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Solution

The third proportional to 820,220 and 1,801,752 is: 3,957,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,220 : 1,801,752 = 1,801,752 : x
  2. Step 2: Convert to fraction form
    820,220/1,801,752 = 1,801,752/x
  3. Step 3: Cross multiply
    820,220x = 1,801,752 × 1,801,752
  4. Step 4: Simplify right side
    820,220x = 3,246,310,269,504
  5. Step 5: Solve for x
    x = 3,246,310,269,504/820,220
  6. Step 6: Final answer
    x = 3,957,853.10

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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.