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Finding the Third Proportional to 378,264 and 575,256

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Solution

The third proportional to 378,264 and 575,256 is: 874,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,264 : 575,256 = 575,256 : x
  2. Step 2: Convert to fraction form
    378,264/575,256 = 575,256/x
  3. Step 3: Cross multiply
    378,264x = 575,256 × 575,256
  4. Step 4: Simplify right side
    378,264x = 330,919,465,536
  5. Step 5: Solve for x
    x = 330,919,465,536/378,264
  6. Step 6: Final answer
    x = 874,837.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.