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Finding the Third Proportional to 132,867 and 201,759.75

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Solution

The third proportional to 132,867 and 201,759.75 is: 306,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,867 : 201,759.75 = 201,759.75 : x
  2. Step 2: Convert to fraction form
    132,867/201,759.75 = 201,759.75/x
  3. Step 3: Cross multiply
    132,867x = 201,759.75 × 201,759.75
  4. Step 4: Simplify right side
    132,867x = 40,706,996,720.06
  5. Step 5: Solve for x
    x = 40,706,996,720.06/132,867
  6. Step 6: Final answer
    x = 306,374.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.