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Finding the Third Proportional to 269,218.69 and 416,809.13

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Solution

The third proportional to 269,218.69 and 416,809.13 is: 645,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,218.69 : 416,809.13 = 416,809.13 : x
  2. Step 2: Convert to fraction form
    269,218.69/416,809.13 = 416,809.13/x
  3. Step 3: Cross multiply
    269,218.69x = 416,809.13 × 416,809.13
  4. Step 4: Simplify right side
    269,218.69x = 173,729,846,683.27
  5. Step 5: Solve for x
    x = 173,729,846,683.27/269,218.69
  6. Step 6: Final answer
    x = 645,311.25

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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.