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Finding the Third Proportional to 269,804 and 408,740

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Solution

The third proportional to 269,804 and 408,740 is: 619,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,804 : 408,740 = 408,740 : x
  2. Step 2: Convert to fraction form
    269,804/408,740 = 408,740/x
  3. Step 3: Cross multiply
    269,804x = 408,740 × 408,740
  4. Step 4: Simplify right side
    269,804x = 167,068,387,600
  5. Step 5: Solve for x
    x = 167,068,387,600/269,804
  6. Step 6: Final answer
    x = 619,221.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.