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Finding the Third Proportional to 189,634 and 254,451

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Solution

The third proportional to 189,634 and 254,451 is: 341,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,634 : 254,451 = 254,451 : x
  2. Step 2: Convert to fraction form
    189,634/254,451 = 254,451/x
  3. Step 3: Cross multiply
    189,634x = 254,451 × 254,451
  4. Step 4: Simplify right side
    189,634x = 64,745,311,401
  5. Step 5: Solve for x
    x = 64,745,311,401/189,634
  6. Step 6: Final answer
    x = 341,422.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.