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Finding the Third Proportional to 365.91 and 812.81

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Solution

The third proportional to 365.91 and 812.81 is: 1,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.91 : 812.81 = 812.81 : x
  2. Step 2: Convert to fraction form
    365.91/812.81 = 812.81/x
  3. Step 3: Cross multiply
    365.91x = 812.81 × 812.81
  4. Step 4: Simplify right side
    365.91x = 660,664.16
  5. Step 5: Solve for x
    x = 660,664.16/365.91
  6. Step 6: Final answer
    x = 1,805.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.