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Finding the Third Proportional to 379,200 and 569,772

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Solution

The third proportional to 379,200 and 569,772 is: 856,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,200 : 569,772 = 569,772 : x
  2. Step 2: Convert to fraction form
    379,200/569,772 = 569,772/x
  3. Step 3: Cross multiply
    379,200x = 569,772 × 569,772
  4. Step 4: Simplify right side
    379,200x = 324,640,131,984
  5. Step 5: Solve for x
    x = 324,640,131,984/379,200
  6. Step 6: Final answer
    x = 856,118.49

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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.