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Finding the Third Proportional to 276,253.75 and 415,408.75

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Solution

The third proportional to 276,253.75 and 415,408.75 is: 624,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,253.75 : 415,408.75 = 415,408.75 : x
  2. Step 2: Convert to fraction form
    276,253.75/415,408.75 = 415,408.75/x
  3. Step 3: Cross multiply
    276,253.75x = 415,408.75 × 415,408.75
  4. Step 4: Simplify right side
    276,253.75x = 172,564,429,576.56
  5. Step 5: Solve for x
    x = 172,564,429,576.56/276,253.75
  6. Step 6: Final answer
    x = 624,659.14

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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.