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Finding the Third Proportional to 149,474 and 219,837

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Solution

The third proportional to 149,474 and 219,837 is: 323,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,474 : 219,837 = 219,837 : x
  2. Step 2: Convert to fraction form
    149,474/219,837 = 219,837/x
  3. Step 3: Cross multiply
    149,474x = 219,837 × 219,837
  4. Step 4: Simplify right side
    149,474x = 48,328,306,569
  5. Step 5: Solve for x
    x = 48,328,306,569/149,474
  6. Step 6: Final answer
    x = 323,322.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.