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Finding the Third Proportional to 276,429 and 423,380

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Solution

The third proportional to 276,429 and 423,380 is: 648,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,429 : 423,380 = 423,380 : x
  2. Step 2: Convert to fraction form
    276,429/423,380 = 423,380/x
  3. Step 3: Cross multiply
    276,429x = 423,380 × 423,380
  4. Step 4: Simplify right side
    276,429x = 179,250,624,400
  5. Step 5: Solve for x
    x = 179,250,624,400/276,429
  6. Step 6: Final answer
    x = 648,450.87

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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.