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Finding the Third Proportional to 329,450 and 721,936

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Solution

The third proportional to 329,450 and 721,936 is: 1,582,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,450 : 721,936 = 721,936 : x
  2. Step 2: Convert to fraction form
    329,450/721,936 = 721,936/x
  3. Step 3: Cross multiply
    329,450x = 721,936 × 721,936
  4. Step 4: Simplify right side
    329,450x = 521,191,588,096
  5. Step 5: Solve for x
    x = 521,191,588,096/329,450
  6. Step 6: Final answer
    x = 1,582,005.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.