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Finding the Third Proportional to 204,241.50 and 468,807.75

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Solution

The third proportional to 204,241.50 and 468,807.75 is: 1,076,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,241.50 : 468,807.75 = 468,807.75 : x
  2. Step 2: Convert to fraction form
    204,241.50/468,807.75 = 468,807.75/x
  3. Step 3: Cross multiply
    204,241.50x = 468,807.75 × 468,807.75
  4. Step 4: Simplify right side
    204,241.50x = 219,780,706,460.06
  5. Step 5: Solve for x
    x = 219,780,706,460.06/204,241.50
  6. Step 6: Final answer
    x = 1,076,082.51

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.