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Finding the Third Proportional to 758.63 and 1,661.81

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Solution

The third proportional to 758.63 and 1,661.81 is: 3,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.63 : 1,661.81 = 1,661.81 : x
  2. Step 2: Convert to fraction form
    758.63/1,661.81 = 1,661.81/x
  3. Step 3: Cross multiply
    758.63x = 1,661.81 × 1,661.81
  4. Step 4: Simplify right side
    758.63x = 2,761,620.79
  5. Step 5: Solve for x
    x = 2,761,620.79/758.63
  6. Step 6: Final answer
    x = 3,640.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.