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Finding the Third Proportional to 200,306.25 and 311,947.88

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Solution

The third proportional to 200,306.25 and 311,947.88 is: 485,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,306.25 : 311,947.88 = 311,947.88 : x
  2. Step 2: Convert to fraction form
    200,306.25/311,947.88 = 311,947.88/x
  3. Step 3: Cross multiply
    200,306.25x = 311,947.88 × 311,947.88
  4. Step 4: Simplify right side
    200,306.25x = 97,311,476,717.02
  5. Step 5: Solve for x
    x = 97,311,476,717.02/200,306.25
  6. Step 6: Final answer
    x = 485,813.48

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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.