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Finding the Third Proportional to 981.75 and 2,007.75

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Solution

The third proportional to 981.75 and 2,007.75 is: 4,105.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.75 : 2,007.75 = 2,007.75 : x
  2. Step 2: Convert to fraction form
    981.75/2,007.75 = 2,007.75/x
  3. Step 3: Cross multiply
    981.75x = 2,007.75 × 2,007.75
  4. Step 4: Simplify right side
    981.75x = 4,031,060.06
  5. Step 5: Solve for x
    x = 4,031,060.06/981.75
  6. Step 6: Final answer
    x = 4,105.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.