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Finding the Third Proportional to 219,317 and 330,069

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Solution

The third proportional to 219,317 and 330,069 is: 496,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,317 : 330,069 = 330,069 : x
  2. Step 2: Convert to fraction form
    219,317/330,069 = 330,069/x
  3. Step 3: Cross multiply
    219,317x = 330,069 × 330,069
  4. Step 4: Simplify right side
    219,317x = 108,945,544,761
  5. Step 5: Solve for x
    x = 108,945,544,761/219,317
  6. Step 6: Final answer
    x = 496,749.20

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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.