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Finding the Third Proportional to 200,288 and 311,920

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Solution

The third proportional to 200,288 and 311,920 is: 485,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,288 : 311,920 = 311,920 : x
  2. Step 2: Convert to fraction form
    200,288/311,920 = 311,920/x
  3. Step 3: Cross multiply
    200,288x = 311,920 × 311,920
  4. Step 4: Simplify right side
    200,288x = 97,294,086,400
  5. Step 5: Solve for x
    x = 97,294,086,400/200,288
  6. Step 6: Final answer
    x = 485,770.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.