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Finding the Third Proportional to 189,306 and 408,123

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Solution

The third proportional to 189,306 and 408,123 is: 879,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,306 : 408,123 = 408,123 : x
  2. Step 2: Convert to fraction form
    189,306/408,123 = 408,123/x
  3. Step 3: Cross multiply
    189,306x = 408,123 × 408,123
  4. Step 4: Simplify right side
    189,306x = 166,564,383,129
  5. Step 5: Solve for x
    x = 166,564,383,129/189,306
  6. Step 6: Final answer
    x = 879,868.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.