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Finding the Third Proportional to 122,920 and 189,206

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Solution

The third proportional to 122,920 and 189,206 is: 291,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,920 : 189,206 = 189,206 : x
  2. Step 2: Convert to fraction form
    122,920/189,206 = 189,206/x
  3. Step 3: Cross multiply
    122,920x = 189,206 × 189,206
  4. Step 4: Simplify right side
    122,920x = 35,798,910,436
  5. Step 5: Solve for x
    x = 35,798,910,436/122,920
  6. Step 6: Final answer
    x = 291,237.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.