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Finding the Third Proportional to 139,201.50 and 211,569

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Solution

The third proportional to 139,201.50 and 211,569 is: 321,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,201.50 : 211,569 = 211,569 : x
  2. Step 2: Convert to fraction form
    139,201.50/211,569 = 211,569/x
  3. Step 3: Cross multiply
    139,201.50x = 211,569 × 211,569
  4. Step 4: Simplify right side
    139,201.50x = 44,761,441,761
  5. Step 5: Solve for x
    x = 44,761,441,761/139,201.50
  6. Step 6: Final answer
    x = 321,558.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.