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Finding the Third Proportional to 179,644.50 and 389,191.50

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Solution

The third proportional to 179,644.50 and 389,191.50 is: 843,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,644.50 : 389,191.50 = 389,191.50 : x
  2. Step 2: Convert to fraction form
    179,644.50/389,191.50 = 389,191.50/x
  3. Step 3: Cross multiply
    179,644.50x = 389,191.50 × 389,191.50
  4. Step 4: Simplify right side
    179,644.50x = 151,470,023,672.25
  5. Step 5: Solve for x
    x = 151,470,023,672.25/179,644.50
  6. Step 6: Final answer
    x = 843,165.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.