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Finding the Third Proportional to 135,917 and 209,935.50

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Solution

The third proportional to 135,917 and 209,935.50 is: 324,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,917 : 209,935.50 = 209,935.50 : x
  2. Step 2: Convert to fraction form
    135,917/209,935.50 = 209,935.50/x
  3. Step 3: Cross multiply
    135,917x = 209,935.50 × 209,935.50
  4. Step 4: Simplify right side
    135,917x = 44,072,914,160.25
  5. Step 5: Solve for x
    x = 44,072,914,160.25/135,917
  6. Step 6: Final answer
    x = 324,263.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.