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Finding the Third Proportional to 135,648 and 210,288

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Solution

The third proportional to 135,648 and 210,288 is: 325,998.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,648 : 210,288 = 210,288 : x
  2. Step 2: Convert to fraction form
    135,648/210,288 = 210,288/x
  3. Step 3: Cross multiply
    135,648x = 210,288 × 210,288
  4. Step 4: Simplify right side
    135,648x = 44,221,042,944
  5. Step 5: Solve for x
    x = 44,221,042,944/135,648
  6. Step 6: Final answer
    x = 325,998.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.