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Finding the Third Proportional to 9,776.25 and 21,102.75

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Solution

The third proportional to 9,776.25 and 21,102.75 is: 45,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.25 : 21,102.75 = 21,102.75 : x
  2. Step 2: Convert to fraction form
    9,776.25/21,102.75 = 21,102.75/x
  3. Step 3: Cross multiply
    9,776.25x = 21,102.75 × 21,102.75
  4. Step 4: Simplify right side
    9,776.25x = 445,326,057.56
  5. Step 5: Solve for x
    x = 445,326,057.56/9,776.25
  6. Step 6: Final answer
    x = 45,551.83

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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.