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Finding the Third Proportional to 136,201.50 and 287,286.75

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Solution

The third proportional to 136,201.50 and 287,286.75 is: 605,967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,201.50 : 287,286.75 = 287,286.75 : x
  2. Step 2: Convert to fraction form
    136,201.50/287,286.75 = 287,286.75/x
  3. Step 3: Cross multiply
    136,201.50x = 287,286.75 × 287,286.75
  4. Step 4: Simplify right side
    136,201.50x = 82,533,676,725.56
  5. Step 5: Solve for x
    x = 82,533,676,725.56/136,201.50
  6. Step 6: Final answer
    x = 605,967.46

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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.