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Finding the Third Proportional to 269,622 and 407,781

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Solution

The third proportional to 269,622 and 407,781 is: 616,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,622 : 407,781 = 407,781 : x
  2. Step 2: Convert to fraction form
    269,622/407,781 = 407,781/x
  3. Step 3: Cross multiply
    269,622x = 407,781 × 407,781
  4. Step 4: Simplify right side
    269,622x = 166,285,343,961
  5. Step 5: Solve for x
    x = 166,285,343,961/269,622
  6. Step 6: Final answer
    x = 616,735.07

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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.