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Finding the Third Proportional to 200,388 and 268,182

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Solution

The third proportional to 200,388 and 268,182 is: 358,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,388 : 268,182 = 268,182 : x
  2. Step 2: Convert to fraction form
    200,388/268,182 = 268,182/x
  3. Step 3: Cross multiply
    200,388x = 268,182 × 268,182
  4. Step 4: Simplify right side
    200,388x = 71,921,585,124
  5. Step 5: Solve for x
    x = 71,921,585,124/200,388
  6. Step 6: Final answer
    x = 358,911.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.