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Finding the Third Proportional to 9,783 and 21,087

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Solution

The third proportional to 9,783 and 21,087 is: 45,452.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783 : 21,087 = 21,087 : x
  2. Step 2: Convert to fraction form
    9,783/21,087 = 21,087/x
  3. Step 3: Cross multiply
    9,783x = 21,087 × 21,087
  4. Step 4: Simplify right side
    9,783x = 444,661,569
  5. Step 5: Solve for x
    x = 444,661,569/9,783
  6. Step 6: Final answer
    x = 45,452.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.