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Finding the Third Proportional to 204,310.88 and 433,194.75

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Solution

The third proportional to 204,310.88 and 433,194.75 is: 918,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,310.88 : 433,194.75 = 433,194.75 : x
  2. Step 2: Convert to fraction form
    204,310.88/433,194.75 = 433,194.75/x
  3. Step 3: Cross multiply
    204,310.88x = 433,194.75 × 433,194.75
  4. Step 4: Simplify right side
    204,310.88x = 187,657,691,427.56
  5. Step 5: Solve for x
    x = 187,657,691,427.56/204,310.88
  6. Step 6: Final answer
    x = 918,490.96

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Why These Related Problems?

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