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Finding the Third Proportional to 189,716 and 253,764

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Solution

The third proportional to 189,716 and 253,764 is: 339,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,716 : 253,764 = 253,764 : x
  2. Step 2: Convert to fraction form
    189,716/253,764 = 253,764/x
  3. Step 3: Cross multiply
    189,716x = 253,764 × 253,764
  4. Step 4: Simplify right side
    189,716x = 64,396,167,696
  5. Step 5: Solve for x
    x = 64,396,167,696/189,716
  6. Step 6: Final answer
    x = 339,434.56

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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.