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Finding the Third Proportional to 189,896 and 271,372

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Solution

The third proportional to 189,896 and 271,372 is: 387,805.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,896 : 271,372 = 271,372 : x
  2. Step 2: Convert to fraction form
    189,896/271,372 = 271,372/x
  3. Step 3: Cross multiply
    189,896x = 271,372 × 271,372
  4. Step 4: Simplify right side
    189,896x = 73,642,762,384
  5. Step 5: Solve for x
    x = 73,642,762,384/189,896
  6. Step 6: Final answer
    x = 387,805.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.