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Finding the Third Proportional to 200,685 and 275,195

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Solution

The third proportional to 200,685 and 275,195 is: 377,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,685 : 275,195 = 275,195 : x
  2. Step 2: Convert to fraction form
    200,685/275,195 = 275,195/x
  3. Step 3: Cross multiply
    200,685x = 275,195 × 275,195
  4. Step 4: Simplify right side
    200,685x = 75,732,288,025
  5. Step 5: Solve for x
    x = 75,732,288,025/200,685
  6. Step 6: Final answer
    x = 377,368.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.