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Finding the Third Proportional to 1,940.68 and 2,990.04

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Solution

The third proportional to 1,940.68 and 2,990.04 is: 4,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.68 : 2,990.04 = 2,990.04 : x
  2. Step 2: Convert to fraction form
    1,940.68/2,990.04 = 2,990.04/x
  3. Step 3: Cross multiply
    1,940.68x = 2,990.04 × 2,990.04
  4. Step 4: Simplify right side
    1,940.68x = 8,940,333.60
  5. Step 5: Solve for x
    x = 8,940,333.60/1,940.68
  6. Step 6: Final answer
    x = 4,606.81

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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.