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Finding the Third Proportional to 276,472 and 422,727

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Solution

The third proportional to 276,472 and 422,727 is: 646,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,472 : 422,727 = 422,727 : x
  2. Step 2: Convert to fraction form
    276,472/422,727 = 422,727/x
  3. Step 3: Cross multiply
    276,472x = 422,727 × 422,727
  4. Step 4: Simplify right side
    276,472x = 178,698,116,529
  5. Step 5: Solve for x
    x = 178,698,116,529/276,472
  6. Step 6: Final answer
    x = 646,351.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.