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Finding the Third Proportional to 239,296 and 503,380

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Solution

The third proportional to 239,296 and 503,380 is: 1,058,903.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,296 : 503,380 = 503,380 : x
  2. Step 2: Convert to fraction form
    239,296/503,380 = 503,380/x
  3. Step 3: Cross multiply
    239,296x = 503,380 × 503,380
  4. Step 4: Simplify right side
    239,296x = 253,391,424,400
  5. Step 5: Solve for x
    x = 253,391,424,400/239,296
  6. Step 6: Final answer
    x = 1,058,903.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.