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Finding the Third Proportional to 189,711 and 253,757

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Solution

The third proportional to 189,711 and 253,757 is: 339,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,711 : 253,757 = 253,757 : x
  2. Step 2: Convert to fraction form
    189,711/253,757 = 253,757/x
  3. Step 3: Cross multiply
    189,711x = 253,757 × 253,757
  4. Step 4: Simplify right side
    189,711x = 64,392,615,049
  5. Step 5: Solve for x
    x = 64,392,615,049/189,711
  6. Step 6: Final answer
    x = 339,424.78

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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.