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Finding the Third Proportional to 981,190 and 2,172,224

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Solution

The third proportional to 981,190 and 2,172,224 is: 4,809,014.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,190 : 2,172,224 = 2,172,224 : x
  2. Step 2: Convert to fraction form
    981,190/2,172,224 = 2,172,224/x
  3. Step 3: Cross multiply
    981,190x = 2,172,224 × 2,172,224
  4. Step 4: Simplify right side
    981,190x = 4,718,557,106,176
  5. Step 5: Solve for x
    x = 4,718,557,106,176/981,190
  6. Step 6: Final answer
    x = 4,809,014.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.