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Finding the Third Proportional to 378,536 and 569,384

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Solution

The third proportional to 378,536 and 569,384 is: 856,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,536 : 569,384 = 569,384 : x
  2. Step 2: Convert to fraction form
    378,536/569,384 = 569,384/x
  3. Step 3: Cross multiply
    378,536x = 569,384 × 569,384
  4. Step 4: Simplify right side
    378,536x = 324,198,139,456
  5. Step 5: Solve for x
    x = 324,198,139,456/378,536
  6. Step 6: Final answer
    x = 856,452.59

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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.