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Finding the Third Proportional to 200,612 and 311,631

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Solution

The third proportional to 200,612 and 311,631 is: 484,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,612 : 311,631 = 311,631 : x
  2. Step 2: Convert to fraction form
    200,612/311,631 = 311,631/x
  3. Step 3: Cross multiply
    200,612x = 311,631 × 311,631
  4. Step 4: Simplify right side
    200,612x = 97,113,880,161
  5. Step 5: Solve for x
    x = 97,113,880,161/200,612
  6. Step 6: Final answer
    x = 484,088.09

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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.