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Finding the Third Proportional to 9,849.75 and 21,083.25

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Solution

The third proportional to 9,849.75 and 21,083.25 is: 45,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.75 : 21,083.25 = 21,083.25 : x
  2. Step 2: Convert to fraction form
    9,849.75/21,083.25 = 21,083.25/x
  3. Step 3: Cross multiply
    9,849.75x = 21,083.25 × 21,083.25
  4. Step 4: Simplify right side
    9,849.75x = 444,503,430.56
  5. Step 5: Solve for x
    x = 444,503,430.56/9,849.75
  6. Step 6: Final answer
    x = 45,128.40

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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.