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Finding the Third Proportional to 204,310.50 and 433,194

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Solution

The third proportional to 204,310.50 and 433,194 is: 918,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,310.50 : 433,194 = 433,194 : x
  2. Step 2: Convert to fraction form
    204,310.50/433,194 = 433,194/x
  3. Step 3: Cross multiply
    204,310.50x = 433,194 × 433,194
  4. Step 4: Simplify right side
    204,310.50x = 187,657,041,636
  5. Step 5: Solve for x
    x = 187,657,041,636/204,310.50
  6. Step 6: Final answer
    x = 918,489.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.