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Finding the Third Proportional to 276,233 and 415,374

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Solution

The third proportional to 276,233 and 415,374 is: 624,601.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,233 : 415,374 = 415,374 : x
  2. Step 2: Convert to fraction form
    276,233/415,374 = 415,374/x
  3. Step 3: Cross multiply
    276,233x = 415,374 × 415,374
  4. Step 4: Simplify right side
    276,233x = 172,535,559,876
  5. Step 5: Solve for x
    x = 172,535,559,876/276,233
  6. Step 6: Final answer
    x = 624,601.55

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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.