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Finding the Third Proportional to 149,379 and 322,530

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Solution

The third proportional to 149,379 and 322,530 is: 696,387.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,379 : 322,530 = 322,530 : x
  2. Step 2: Convert to fraction form
    149,379/322,530 = 322,530/x
  3. Step 3: Cross multiply
    149,379x = 322,530 × 322,530
  4. Step 4: Simplify right side
    149,379x = 104,025,600,900
  5. Step 5: Solve for x
    x = 104,025,600,900/149,379
  6. Step 6: Final answer
    x = 696,387.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.