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Finding the Third Proportional to 200,770 and 275,309

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Solution

The third proportional to 200,770 and 275,309 is: 377,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,770 : 275,309 = 275,309 : x
  2. Step 2: Convert to fraction form
    200,770/275,309 = 275,309/x
  3. Step 3: Cross multiply
    200,770x = 275,309 × 275,309
  4. Step 4: Simplify right side
    200,770x = 75,795,045,481
  5. Step 5: Solve for x
    x = 75,795,045,481/200,770
  6. Step 6: Final answer
    x = 377,521.77

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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.