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Finding the Third Proportional to 276,849 and 433,727

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Solution

The third proportional to 276,849 and 433,727 is: 679,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,849 : 433,727 = 433,727 : x
  2. Step 2: Convert to fraction form
    276,849/433,727 = 433,727/x
  3. Step 3: Cross multiply
    276,849x = 433,727 × 433,727
  4. Step 4: Simplify right side
    276,849x = 188,119,110,529
  5. Step 5: Solve for x
    x = 188,119,110,529/276,849
  6. Step 6: Final answer
    x = 679,500.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.