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Finding the Third Proportional to 200,920 and 275,502

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Solution

The third proportional to 200,920 and 275,502 is: 377,769.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,920 : 275,502 = 275,502 : x
  2. Step 2: Convert to fraction form
    200,920/275,502 = 275,502/x
  3. Step 3: Cross multiply
    200,920x = 275,502 × 275,502
  4. Step 4: Simplify right side
    200,920x = 75,901,352,004
  5. Step 5: Solve for x
    x = 75,901,352,004/200,920
  6. Step 6: Final answer
    x = 377,769.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.