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Finding the Third Proportional to 1,940.84 and 2,903.98

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Solution

The third proportional to 1,940.84 and 2,903.98 is: 4,345.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.84 : 2,903.98 = 2,903.98 : x
  2. Step 2: Convert to fraction form
    1,940.84/2,903.98 = 2,903.98/x
  3. Step 3: Cross multiply
    1,940.84x = 2,903.98 × 2,903.98
  4. Step 4: Simplify right side
    1,940.84x = 8,433,079.88
  5. Step 5: Solve for x
    x = 8,433,079.88/1,940.84
  6. Step 6: Final answer
    x = 4,345.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.