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Finding the Third Proportional to 189,256.50 and 399,837

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Solution

The third proportional to 189,256.50 and 399,837 is: 844,724.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,256.50 : 399,837 = 399,837 : x
  2. Step 2: Convert to fraction form
    189,256.50/399,837 = 399,837/x
  3. Step 3: Cross multiply
    189,256.50x = 399,837 × 399,837
  4. Step 4: Simplify right side
    189,256.50x = 159,869,626,569
  5. Step 5: Solve for x
    x = 159,869,626,569/189,256.50
  6. Step 6: Final answer
    x = 844,724.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.