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Finding the Third Proportional to 269,217 and 416,806

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Solution

The third proportional to 269,217 and 416,806 is: 645,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,217 : 416,806 = 416,806 : x
  2. Step 2: Convert to fraction form
    269,217/416,806 = 416,806/x
  3. Step 3: Cross multiply
    269,217x = 416,806 × 416,806
  4. Step 4: Simplify right side
    269,217x = 173,727,241,636
  5. Step 5: Solve for x
    x = 173,727,241,636/269,217
  6. Step 6: Final answer
    x = 645,305.61

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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.