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Finding the Third Proportional to 239,227.50 and 385,449

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Solution

The third proportional to 239,227.50 and 385,449 is: 621,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,227.50 : 385,449 = 385,449 : x
  2. Step 2: Convert to fraction form
    239,227.50/385,449 = 385,449/x
  3. Step 3: Cross multiply
    239,227.50x = 385,449 × 385,449
  4. Step 4: Simplify right side
    239,227.50x = 148,570,931,601
  5. Step 5: Solve for x
    x = 148,570,931,601/239,227.50
  6. Step 6: Final answer
    x = 621,044.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.