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Finding the Third Proportional to 201,306 and 276,872

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Solution

The third proportional to 201,306 and 276,872 is: 380,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,306 : 276,872 = 276,872 : x
  2. Step 2: Convert to fraction form
    201,306/276,872 = 276,872/x
  3. Step 3: Cross multiply
    201,306x = 276,872 × 276,872
  4. Step 4: Simplify right side
    201,306x = 76,658,104,384
  5. Step 5: Solve for x
    x = 76,658,104,384/201,306
  6. Step 6: Final answer
    x = 380,803.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.