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Finding the Third Proportional to 276,812 and 363,472

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Solution

The third proportional to 276,812 and 363,472 is: 477,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,812 : 363,472 = 363,472 : x
  2. Step 2: Convert to fraction form
    276,812/363,472 = 363,472/x
  3. Step 3: Cross multiply
    276,812x = 363,472 × 363,472
  4. Step 4: Simplify right side
    276,812x = 132,111,894,784
  5. Step 5: Solve for x
    x = 132,111,894,784/276,812
  6. Step 6: Final answer
    x = 477,262.17

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.