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Finding the Third Proportional to 209,228 and 268,642

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Solution

The third proportional to 209,228 and 268,642 is: 344,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,228 : 268,642 = 268,642 : x
  2. Step 2: Convert to fraction form
    209,228/268,642 = 268,642/x
  3. Step 3: Cross multiply
    209,228x = 268,642 × 268,642
  4. Step 4: Simplify right side
    209,228x = 72,168,524,164
  5. Step 5: Solve for x
    x = 72,168,524,164/209,228
  6. Step 6: Final answer
    x = 344,927.66

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.