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Finding the Third Proportional to 133,623 and 205,474.50

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Solution

The third proportional to 133,623 and 205,474.50 is: 315,961.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,623 : 205,474.50 = 205,474.50 : x
  2. Step 2: Convert to fraction form
    133,623/205,474.50 = 205,474.50/x
  3. Step 3: Cross multiply
    133,623x = 205,474.50 × 205,474.50
  4. Step 4: Simplify right side
    133,623x = 42,219,770,150.25
  5. Step 5: Solve for x
    x = 42,219,770,150.25/133,623
  6. Step 6: Final answer
    x = 315,961.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.