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Finding the Third Proportional to 981.97 and 1,399.62

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Solution

The third proportional to 981.97 and 1,399.62 is: 1,994.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.97 : 1,399.62 = 1,399.62 : x
  2. Step 2: Convert to fraction form
    981.97/1,399.62 = 1,399.62/x
  3. Step 3: Cross multiply
    981.97x = 1,399.62 × 1,399.62
  4. Step 4: Simplify right side
    981.97x = 1,958,944.67
  5. Step 5: Solve for x
    x = 1,958,944.67/981.97
  6. Step 6: Final answer
    x = 1,994.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.