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Finding the Third Proportional to 805.22 and 1,204.59

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Solution

The third proportional to 805.22 and 1,204.59 is: 1,802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.22 : 1,204.59 = 1,204.59 : x
  2. Step 2: Convert to fraction form
    805.22/1,204.59 = 1,204.59/x
  3. Step 3: Cross multiply
    805.22x = 1,204.59 × 1,204.59
  4. Step 4: Simplify right side
    805.22x = 1,451,046.10
  5. Step 5: Solve for x
    x = 1,451,046.10/805.22
  6. Step 6: Final answer
    x = 1,802.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.