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Finding the Third Proportional to 150,709 and 205,241

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Solution

The third proportional to 150,709 and 205,241 is: 279,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,709 : 205,241 = 205,241 : x
  2. Step 2: Convert to fraction form
    150,709/205,241 = 205,241/x
  3. Step 3: Cross multiply
    150,709x = 205,241 × 205,241
  4. Step 4: Simplify right side
    150,709x = 42,123,868,081
  5. Step 5: Solve for x
    x = 42,123,868,081/150,709
  6. Step 6: Final answer
    x = 279,504.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.