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Finding the Third Proportional to 3,116.31 and 4,789.80

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Solution

The third proportional to 3,116.31 and 4,789.80 is: 7,361.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.31 : 4,789.80 = 4,789.80 : x
  2. Step 2: Convert to fraction form
    3,116.31/4,789.80 = 4,789.80/x
  3. Step 3: Cross multiply
    3,116.31x = 4,789.80 × 4,789.80
  4. Step 4: Simplify right side
    3,116.31x = 22,942,206.14
  5. Step 5: Solve for x
    x = 22,942,206.14/3,116.31
  6. Step 6: Final answer
    x = 7,361.97

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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.