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Finding the Third Proportional to 536.44 and 812.91

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Solution

The third proportional to 536.44 and 812.91 is: 1,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.44 : 812.91 = 812.91 : x
  2. Step 2: Convert to fraction form
    536.44/812.91 = 812.91/x
  3. Step 3: Cross multiply
    536.44x = 812.91 × 812.91
  4. Step 4: Simplify right side
    536.44x = 660,816.57
  5. Step 5: Solve for x
    x = 660,816.57/536.44
  6. Step 6: Final answer
    x = 1,231.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.