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Finding the Third Proportional to 9,879.50 and 22,106

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Solution

The third proportional to 9,879.50 and 22,106 is: 49,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.50 : 22,106 = 22,106 : x
  2. Step 2: Convert to fraction form
    9,879.50/22,106 = 22,106/x
  3. Step 3: Cross multiply
    9,879.50x = 22,106 × 22,106
  4. Step 4: Simplify right side
    9,879.50x = 488,675,236
  5. Step 5: Solve for x
    x = 488,675,236/9,879.50
  6. Step 6: Final answer
    x = 49,463.56

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.