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Finding the Third Proportional to 200,911 and 311,434

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Solution

The third proportional to 200,911 and 311,434 is: 482,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,911 : 311,434 = 311,434 : x
  2. Step 2: Convert to fraction form
    200,911/311,434 = 311,434/x
  3. Step 3: Cross multiply
    200,911x = 311,434 × 311,434
  4. Step 4: Simplify right side
    200,911x = 96,991,136,356
  5. Step 5: Solve for x
    x = 96,991,136,356/200,911
  6. Step 6: Final answer
    x = 482,756.72

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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.