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Finding the Third Proportional to 201,760 and 282,760

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Solution

The third proportional to 201,760 and 282,760 is: 396,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,760 : 282,760 = 282,760 : x
  2. Step 2: Convert to fraction form
    201,760/282,760 = 282,760/x
  3. Step 3: Cross multiply
    201,760x = 282,760 × 282,760
  4. Step 4: Simplify right side
    201,760x = 79,953,217,600
  5. Step 5: Solve for x
    x = 79,953,217,600/201,760
  6. Step 6: Final answer
    x = 396,278.83

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.