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Finding the Third Proportional to 365.53 and 809.53

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Solution

The third proportional to 365.53 and 809.53 is: 1,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.53 : 809.53 = 809.53 : x
  2. Step 2: Convert to fraction form
    365.53/809.53 = 809.53/x
  3. Step 3: Cross multiply
    365.53x = 809.53 × 809.53
  4. Step 4: Simplify right side
    365.53x = 655,340.84
  5. Step 5: Solve for x
    x = 655,340.84/365.53
  6. Step 6: Final answer
    x = 1,792.84

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.