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Finding the Third Proportional to 331,321.50 and 720,639

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Solution

The third proportional to 331,321.50 and 720,639 is: 1,567,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,321.50 : 720,639 = 720,639 : x
  2. Step 2: Convert to fraction form
    331,321.50/720,639 = 720,639/x
  3. Step 3: Cross multiply
    331,321.50x = 720,639 × 720,639
  4. Step 4: Simplify right side
    331,321.50x = 519,320,568,321
  5. Step 5: Solve for x
    x = 519,320,568,321/331,321.50
  6. Step 6: Final answer
    x = 1,567,421.88

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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.