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Finding the Third Proportional to 392,569.50 and 768,736.50

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Solution

The third proportional to 392,569.50 and 768,736.50 is: 1,505,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,569.50 : 768,736.50 = 768,736.50 : x
  2. Step 2: Convert to fraction form
    392,569.50/768,736.50 = 768,736.50/x
  3. Step 3: Cross multiply
    392,569.50x = 768,736.50 × 768,736.50
  4. Step 4: Simplify right side
    392,569.50x = 590,955,806,432.25
  5. Step 5: Solve for x
    x = 590,955,806,432.25/392,569.50
  6. Step 6: Final answer
    x = 1,505,353.34

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.