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Finding the Third Proportional to 805.13 and 1,661.81

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Solution

The third proportional to 805.13 and 1,661.81 is: 3,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.13 : 1,661.81 = 1,661.81 : x
  2. Step 2: Convert to fraction form
    805.13/1,661.81 = 1,661.81/x
  3. Step 3: Cross multiply
    805.13x = 1,661.81 × 1,661.81
  4. Step 4: Simplify right side
    805.13x = 2,761,620.79
  5. Step 5: Solve for x
    x = 2,761,620.79/805.13
  6. Step 6: Final answer
    x = 3,430.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.