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Finding the Third Proportional to 535.20 and 827.13

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Solution

The third proportional to 535.20 and 827.13 is: 1,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.20 : 827.13 = 827.13 : x
  2. Step 2: Convert to fraction form
    535.20/827.13 = 827.13/x
  3. Step 3: Cross multiply
    535.20x = 827.13 × 827.13
  4. Step 4: Simplify right side
    535.20x = 684,148.84
  5. Step 5: Solve for x
    x = 684,148.84/535.20
  6. Step 6: Final answer
    x = 1,278.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.