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Finding the Third Proportional to 2,100.94 and 2,981.81

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Solution

The third proportional to 2,100.94 and 2,981.81 is: 4,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.94 : 2,981.81 = 2,981.81 : x
  2. Step 2: Convert to fraction form
    2,100.94/2,981.81 = 2,981.81/x
  3. Step 3: Cross multiply
    2,100.94x = 2,981.81 × 2,981.81
  4. Step 4: Simplify right side
    2,100.94x = 8,891,205.79
  5. Step 5: Solve for x
    x = 8,891,205.79/2,100.94
  6. Step 6: Final answer
    x = 4,232.02

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.