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Finding the Third Proportional to 276,724 and 415,087

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Solution

The third proportional to 276,724 and 415,087 is: 622,632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,724 : 415,087 = 415,087 : x
  2. Step 2: Convert to fraction form
    276,724/415,087 = 415,087/x
  3. Step 3: Cross multiply
    276,724x = 415,087 × 415,087
  4. Step 4: Simplify right side
    276,724x = 172,297,217,569
  5. Step 5: Solve for x
    x = 172,297,217,569/276,724
  6. Step 6: Final answer
    x = 622,632.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.