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Finding the Third Proportional to 535.50 and 821.63

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Solution

The third proportional to 535.50 and 821.63 is: 1,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 821.63 = 821.63 : x
  2. Step 2: Convert to fraction form
    535.50/821.63 = 821.63/x
  3. Step 3: Cross multiply
    535.50x = 821.63 × 821.63
  4. Step 4: Simplify right side
    535.50x = 675,067.64
  5. Step 5: Solve for x
    x = 675,067.64/535.50
  6. Step 6: Final answer
    x = 1,260.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.