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Finding the Third Proportional to 200,862 and 311,277

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Solution

The third proportional to 200,862 and 311,277 is: 482,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,862 : 311,277 = 311,277 : x
  2. Step 2: Convert to fraction form
    200,862/311,277 = 311,277/x
  3. Step 3: Cross multiply
    200,862x = 311,277 × 311,277
  4. Step 4: Simplify right side
    200,862x = 96,893,370,729
  5. Step 5: Solve for x
    x = 96,893,370,729/200,862
  6. Step 6: Final answer
    x = 482,387.76

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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.