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Finding the Third Proportional to 269,108 and 416,685

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Solution

The third proportional to 269,108 and 416,685 is: 645,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,108 : 416,685 = 416,685 : x
  2. Step 2: Convert to fraction form
    269,108/416,685 = 416,685/x
  3. Step 3: Cross multiply
    269,108x = 416,685 × 416,685
  4. Step 4: Simplify right side
    269,108x = 173,626,389,225
  5. Step 5: Solve for x
    x = 173,626,389,225/269,108
  6. Step 6: Final answer
    x = 645,192.22

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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.