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Finding the Third Proportional to 189,738 and 253,896

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Solution

The third proportional to 189,738 and 253,896 is: 339,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,738 : 253,896 = 253,896 : x
  2. Step 2: Convert to fraction form
    189,738/253,896 = 253,896/x
  3. Step 3: Cross multiply
    189,738x = 253,896 × 253,896
  4. Step 4: Simplify right side
    189,738x = 64,463,178,816
  5. Step 5: Solve for x
    x = 64,463,178,816/189,738
  6. Step 6: Final answer
    x = 339,748.38

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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.