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Finding the Third Proportional to 3,080.81 and 4,758.19

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Solution

The third proportional to 3,080.81 and 4,758.19 is: 7,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.81 : 4,758.19 = 4,758.19 : x
  2. Step 2: Convert to fraction form
    3,080.81/4,758.19 = 4,758.19/x
  3. Step 3: Cross multiply
    3,080.81x = 4,758.19 × 4,758.19
  4. Step 4: Simplify right side
    3,080.81x = 22,640,348.29
  5. Step 5: Solve for x
    x = 22,640,348.29/3,080.81
  6. Step 6: Final answer
    x = 7,348.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.