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Finding the Third Proportional to 189,227 and 402,979

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Solution

The third proportional to 189,227 and 402,979 is: 858,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,227 : 402,979 = 402,979 : x
  2. Step 2: Convert to fraction form
    189,227/402,979 = 402,979/x
  3. Step 3: Cross multiply
    189,227x = 402,979 × 402,979
  4. Step 4: Simplify right side
    189,227x = 162,392,074,441
  5. Step 5: Solve for x
    x = 162,392,074,441/189,227
  6. Step 6: Final answer
    x = 858,186.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.