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Finding the Third Proportional to 135,896 and 205,896

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Solution

The third proportional to 135,896 and 205,896 is: 311,952.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,896 : 205,896 = 205,896 : x
  2. Step 2: Convert to fraction form
    135,896/205,896 = 205,896/x
  3. Step 3: Cross multiply
    135,896x = 205,896 × 205,896
  4. Step 4: Simplify right side
    135,896x = 42,393,162,816
  5. Step 5: Solve for x
    x = 42,393,162,816/135,896
  6. Step 6: Final answer
    x = 311,952.98

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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.