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Finding the Third Proportional to 981.75 and 2,105.63

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Solution

The third proportional to 981.75 and 2,105.63 is: 4,516.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.75 : 2,105.63 = 2,105.63 : x
  2. Step 2: Convert to fraction form
    981.75/2,105.63 = 2,105.63/x
  3. Step 3: Cross multiply
    981.75x = 2,105.63 × 2,105.63
  4. Step 4: Simplify right side
    981.75x = 4,433,656.64
  5. Step 5: Solve for x
    x = 4,433,656.64/981.75
  6. Step 6: Final answer
    x = 4,516.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.