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Finding the Third Proportional to 219,302 and 328,089

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Solution

The third proportional to 219,302 and 328,089 is: 490,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,302 : 328,089 = 328,089 : x
  2. Step 2: Convert to fraction form
    219,302/328,089 = 328,089/x
  3. Step 3: Cross multiply
    219,302x = 328,089 × 328,089
  4. Step 4: Simplify right side
    219,302x = 107,642,391,921
  5. Step 5: Solve for x
    x = 107,642,391,921/219,302
  6. Step 6: Final answer
    x = 490,840.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.