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Finding the Third Proportional to 9,876.75 and 21,699

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Solution

The third proportional to 9,876.75 and 21,699 is: 47,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.75 : 21,699 = 21,699 : x
  2. Step 2: Convert to fraction form
    9,876.75/21,699 = 21,699/x
  3. Step 3: Cross multiply
    9,876.75x = 21,699 × 21,699
  4. Step 4: Simplify right side
    9,876.75x = 470,846,601
  5. Step 5: Solve for x
    x = 470,846,601/9,876.75
  6. Step 6: Final answer
    x = 47,672.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.