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Finding the Third Proportional to 201,756 and 312,204

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Solution

The third proportional to 201,756 and 312,204 is: 483,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,756 : 312,204 = 312,204 : x
  2. Step 2: Convert to fraction form
    201,756/312,204 = 312,204/x
  3. Step 3: Cross multiply
    201,756x = 312,204 × 312,204
  4. Step 4: Simplify right side
    201,756x = 97,471,337,616
  5. Step 5: Solve for x
    x = 97,471,337,616/201,756
  6. Step 6: Final answer
    x = 483,114.94

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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.