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Finding the Third Proportional to 981.84 and 1,399.92

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Solution

The third proportional to 981.84 and 1,399.92 is: 1,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.84 : 1,399.92 = 1,399.92 : x
  2. Step 2: Convert to fraction form
    981.84/1,399.92 = 1,399.92/x
  3. Step 3: Cross multiply
    981.84x = 1,399.92 × 1,399.92
  4. Step 4: Simplify right side
    981.84x = 1,959,781.26
  5. Step 5: Solve for x
    x = 1,959,781.26/981.84
  6. Step 6: Final answer
    x = 1,996.02

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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.