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Finding the Third Proportional to 200,745 and 311,019

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Solution

The third proportional to 200,745 and 311,019 is: 481,869.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745 : 311,019 = 311,019 : x
  2. Step 2: Convert to fraction form
    200,745/311,019 = 311,019/x
  3. Step 3: Cross multiply
    200,745x = 311,019 × 311,019
  4. Step 4: Simplify right side
    200,745x = 96,732,818,361
  5. Step 5: Solve for x
    x = 96,732,818,361/200,745
  6. Step 6: Final answer
    x = 481,869.13

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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.