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Finding the Third Proportional to 135,864 and 288,171

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Solution

The third proportional to 135,864 and 288,171 is: 611,218.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,864 : 288,171 = 288,171 : x
  2. Step 2: Convert to fraction form
    135,864/288,171 = 288,171/x
  3. Step 3: Cross multiply
    135,864x = 288,171 × 288,171
  4. Step 4: Simplify right side
    135,864x = 83,042,525,241
  5. Step 5: Solve for x
    x = 83,042,525,241/135,864
  6. Step 6: Final answer
    x = 611,218.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.