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Finding the Third Proportional to 202,689 and 469,172

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Solution

The third proportional to 202,689 and 469,172 is: 1,086,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,689 : 469,172 = 469,172 : x
  2. Step 2: Convert to fraction form
    202,689/469,172 = 469,172/x
  3. Step 3: Cross multiply
    202,689x = 469,172 × 469,172
  4. Step 4: Simplify right side
    202,689x = 220,122,365,584
  5. Step 5: Solve for x
    x = 220,122,365,584/202,689
  6. Step 6: Final answer
    x = 1,086,010.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.