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Finding the Third Proportional to 276,306 and 419,865

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Solution

The third proportional to 276,306 and 419,865 is: 638,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,306 : 419,865 = 419,865 : x
  2. Step 2: Convert to fraction form
    276,306/419,865 = 419,865/x
  3. Step 3: Cross multiply
    276,306x = 419,865 × 419,865
  4. Step 4: Simplify right side
    276,306x = 176,286,618,225
  5. Step 5: Solve for x
    x = 176,286,618,225/276,306
  6. Step 6: Final answer
    x = 638,012.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.