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Finding the Third Proportional to 249.08 and 535.80

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Solution

The third proportional to 249.08 and 535.80 is: 1,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.08 : 535.80 = 535.80 : x
  2. Step 2: Convert to fraction form
    249.08/535.80 = 535.80/x
  3. Step 3: Cross multiply
    249.08x = 535.80 × 535.80
  4. Step 4: Simplify right side
    249.08x = 287,086.27
  5. Step 5: Solve for x
    x = 287,086.27/249.08
  6. Step 6: Final answer
    x = 1,152.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.