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Finding the Third Proportional to 200,634 and 311,665

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Solution

The third proportional to 200,634 and 311,665 is: 484,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,634 : 311,665 = 311,665 : x
  2. Step 2: Convert to fraction form
    200,634/311,665 = 311,665/x
  3. Step 3: Cross multiply
    200,634x = 311,665 × 311,665
  4. Step 4: Simplify right side
    200,634x = 97,135,072,225
  5. Step 5: Solve for x
    x = 97,135,072,225/200,634
  6. Step 6: Final answer
    x = 484,140.64

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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.