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Finding the Third Proportional to 269,216 and 416,805

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Solution

The third proportional to 269,216 and 416,805 is: 645,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,216 : 416,805 = 416,805 : x
  2. Step 2: Convert to fraction form
    269,216/416,805 = 416,805/x
  3. Step 3: Cross multiply
    269,216x = 416,805 × 416,805
  4. Step 4: Simplify right side
    269,216x = 173,726,408,025
  5. Step 5: Solve for x
    x = 173,726,408,025/269,216
  6. Step 6: Final answer
    x = 645,304.92

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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.