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Finding the Third Proportional to 249.88 and 577.56

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Solution

The third proportional to 249.88 and 577.56 is: 1,334.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.88 : 577.56 = 577.56 : x
  2. Step 2: Convert to fraction form
    249.88/577.56 = 577.56/x
  3. Step 3: Cross multiply
    249.88x = 577.56 × 577.56
  4. Step 4: Simplify right side
    249.88x = 333,578.44
  5. Step 5: Solve for x
    x = 333,578.44/249.88
  6. Step 6: Final answer
    x = 1,334.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.