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Finding the Third Proportional to 122,392 and 189,123

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Solution

The third proportional to 122,392 and 189,123 is: 292,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,392 : 189,123 = 189,123 : x
  2. Step 2: Convert to fraction form
    122,392/189,123 = 189,123/x
  3. Step 3: Cross multiply
    122,392x = 189,123 × 189,123
  4. Step 4: Simplify right side
    122,392x = 35,767,509,129
  5. Step 5: Solve for x
    x = 35,767,509,129/122,392
  6. Step 6: Final answer
    x = 292,237.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.