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Finding the Third Proportional to 135,825.75 and 205,996.50

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Solution

The third proportional to 135,825.75 and 205,996.50 is: 312,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,825.75 : 205,996.50 = 205,996.50 : x
  2. Step 2: Convert to fraction form
    135,825.75/205,996.50 = 205,996.50/x
  3. Step 3: Cross multiply
    135,825.75x = 205,996.50 × 205,996.50
  4. Step 4: Simplify right side
    135,825.75x = 42,434,558,012.25
  5. Step 5: Solve for x
    x = 42,434,558,012.25/135,825.75
  6. Step 6: Final answer
    x = 312,419.10

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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.