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Finding the Third Proportional to 269,228 and 416,820

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Solution

The third proportional to 269,228 and 416,820 is: 645,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,228 : 416,820 = 416,820 : x
  2. Step 2: Convert to fraction form
    269,228/416,820 = 416,820/x
  3. Step 3: Cross multiply
    269,228x = 416,820 × 416,820
  4. Step 4: Simplify right side
    269,228x = 173,738,912,400
  5. Step 5: Solve for x
    x = 173,738,912,400/269,228
  6. Step 6: Final answer
    x = 645,322.60

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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.