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Finding the Third Proportional to 278,256 and 372,768

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Solution

The third proportional to 278,256 and 372,768 is: 499,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,256 : 372,768 = 372,768 : x
  2. Step 2: Convert to fraction form
    278,256/372,768 = 372,768/x
  3. Step 3: Cross multiply
    278,256x = 372,768 × 372,768
  4. Step 4: Simplify right side
    278,256x = 138,955,981,824
  5. Step 5: Solve for x
    x = 138,955,981,824/278,256
  6. Step 6: Final answer
    x = 499,381.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.