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Finding the Third Proportional to 22,105 and 31,069.50

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Solution

The third proportional to 22,105 and 31,069.50 is: 43,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,105 : 31,069.50 = 31,069.50 : x
  2. Step 2: Convert to fraction form
    22,105/31,069.50 = 31,069.50/x
  3. Step 3: Cross multiply
    22,105x = 31,069.50 × 31,069.50
  4. Step 4: Simplify right side
    22,105x = 965,313,830.25
  5. Step 5: Solve for x
    x = 965,313,830.25/22,105
  6. Step 6: Final answer
    x = 43,669.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.