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Finding the Third Proportional to 392,256 and 587,857.50

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Solution

The third proportional to 392,256 and 587,857.50 is: 880,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,256 : 587,857.50 = 587,857.50 : x
  2. Step 2: Convert to fraction form
    392,256/587,857.50 = 587,857.50/x
  3. Step 3: Cross multiply
    392,256x = 587,857.50 × 587,857.50
  4. Step 4: Simplify right side
    392,256x = 345,576,440,306.25
  5. Step 5: Solve for x
    x = 345,576,440,306.25/392,256
  6. Step 6: Final answer
    x = 880,997.21

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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.