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Finding the Third Proportional to 321,424 and 699,224

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Solution

The third proportional to 321,424 and 699,224 is: 1,521,088.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,424 : 699,224 = 699,224 : x
  2. Step 2: Convert to fraction form
    321,424/699,224 = 699,224/x
  3. Step 3: Cross multiply
    321,424x = 699,224 × 699,224
  4. Step 4: Simplify right side
    321,424x = 488,914,202,176
  5. Step 5: Solve for x
    x = 488,914,202,176/321,424
  6. Step 6: Final answer
    x = 1,521,088.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.