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Finding the Third Proportional to 133,075 and 191,288

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Solution

The third proportional to 133,075 and 191,288 is: 274,965.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,075 : 191,288 = 191,288 : x
  2. Step 2: Convert to fraction form
    133,075/191,288 = 191,288/x
  3. Step 3: Cross multiply
    133,075x = 191,288 × 191,288
  4. Step 4: Simplify right side
    133,075x = 36,591,098,944
  5. Step 5: Solve for x
    x = 36,591,098,944/133,075
  6. Step 6: Final answer
    x = 274,965.99

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.