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Finding the Third Proportional to 535.13 and 742.78

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Solution

The third proportional to 535.13 and 742.78 is: 1,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.13 : 742.78 = 742.78 : x
  2. Step 2: Convert to fraction form
    535.13/742.78 = 742.78/x
  3. Step 3: Cross multiply
    535.13x = 742.78 × 742.78
  4. Step 4: Simplify right side
    535.13x = 551,723.99
  5. Step 5: Solve for x
    x = 551,723.99/535.13
  6. Step 6: Final answer
    x = 1,031.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.