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Finding the Third Proportional to 135,888 and 205,884

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Solution

The third proportional to 135,888 and 205,884 is: 311,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,888 : 205,884 = 205,884 : x
  2. Step 2: Convert to fraction form
    135,888/205,884 = 205,884/x
  3. Step 3: Cross multiply
    135,888x = 205,884 × 205,884
  4. Step 4: Simplify right side
    135,888x = 42,388,221,456
  5. Step 5: Solve for x
    x = 42,388,221,456/135,888
  6. Step 6: Final answer
    x = 311,934.99

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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.