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Finding the Third Proportional to 276,801.75 and 413,757

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Solution

The third proportional to 276,801.75 and 413,757 is: 618,474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,801.75 : 413,757 = 413,757 : x
  2. Step 2: Convert to fraction form
    276,801.75/413,757 = 413,757/x
  3. Step 3: Cross multiply
    276,801.75x = 413,757 × 413,757
  4. Step 4: Simplify right side
    276,801.75x = 171,194,855,049
  5. Step 5: Solve for x
    x = 171,194,855,049/276,801.75
  6. Step 6: Final answer
    x = 618,474.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.