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Finding the Third Proportional to 269,219 and 416,809

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Solution

The third proportional to 269,219 and 416,809 is: 645,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,219 : 416,809 = 416,809 : x
  2. Step 2: Convert to fraction form
    269,219/416,809 = 416,809/x
  3. Step 3: Cross multiply
    269,219x = 416,809 × 416,809
  4. Step 4: Simplify right side
    269,219x = 173,729,742,481
  5. Step 5: Solve for x
    x = 173,729,742,481/269,219
  6. Step 6: Final answer
    x = 645,310.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.